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Finding the Third Proportional to 292,893.75 and 609,112.13

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Solution

The third proportional to 292,893.75 and 609,112.13 is: 1,266,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,893.75 : 609,112.13 = 609,112.13 : x
  2. Step 2: Convert to fraction form
    292,893.75/609,112.13 = 609,112.13/x
  3. Step 3: Cross multiply
    292,893.75x = 609,112.13 × 609,112.13
  4. Step 4: Simplify right side
    292,893.75x = 371,017,580,822.02
  5. Step 5: Solve for x
    x = 371,017,580,822.02/292,893.75
  6. Step 6: Final answer
    x = 1,266,730.96

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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.