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Finding the Third Proportional to 292,888 and 609,105

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Solution

The third proportional to 292,888 and 609,105 is: 1,266,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,888 : 609,105 = 609,105 : x
  2. Step 2: Convert to fraction form
    292,888/609,105 = 609,105/x
  3. Step 3: Cross multiply
    292,888x = 609,105 × 609,105
  4. Step 4: Simplify right side
    292,888x = 371,008,901,025
  5. Step 5: Solve for x
    x = 371,008,901,025/292,888
  6. Step 6: Final answer
    x = 1,266,726.19

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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.