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Finding the Third Proportional to 424,464 and 636,660

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Solution

The third proportional to 424,464 and 636,660 is: 954,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,464 : 636,660 = 636,660 : x
  2. Step 2: Convert to fraction form
    424,464/636,660 = 636,660/x
  3. Step 3: Cross multiply
    424,464x = 636,660 × 636,660
  4. Step 4: Simplify right side
    424,464x = 405,335,955,600
  5. Step 5: Solve for x
    x = 405,335,955,600/424,464
  6. Step 6: Final answer
    x = 954,936.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.