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Finding the Third Proportional to 415,755 and 627,376.50

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Solution

The third proportional to 415,755 and 627,376.50 is: 946,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,755 : 627,376.50 = 627,376.50 : x
  2. Step 2: Convert to fraction form
    415,755/627,376.50 = 627,376.50/x
  3. Step 3: Cross multiply
    415,755x = 627,376.50 × 627,376.50
  4. Step 4: Simplify right side
    415,755x = 393,601,272,752.25
  5. Step 5: Solve for x
    x = 393,601,272,752.25/415,755
  6. Step 6: Final answer
    x = 946,714.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.