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Finding the Third Proportional to 292,543,440.75 and 609,300,614.25

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Solution

The third proportional to 292,543,440.75 and 609,300,614.25 is: 1,269,032,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,543,440.75 : 609,300,614.25 = 609,300,614.25 : x
  2. Step 2: Convert to fraction form
    292,543,440.75/609,300,614.25 = 609,300,614.25/x
  3. Step 3: Cross multiply
    292,543,440.75x = 609,300,614.25 × 609,300,614.25
  4. Step 4: Simplify right side
    292,543,440.75x = 371,247,238,525,427,328
  5. Step 5: Solve for x
    x = 371,247,238,525,427,328/292,543,440.75
  6. Step 6: Final answer
    x = 1,269,032,857.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.