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Finding the Third Proportional to 424,539 and 627,088.50

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Solution

The third proportional to 424,539 and 627,088.50 is: 926,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,539 : 627,088.50 = 627,088.50 : x
  2. Step 2: Convert to fraction form
    424,539/627,088.50 = 627,088.50/x
  3. Step 3: Cross multiply
    424,539x = 627,088.50 × 627,088.50
  4. Step 4: Simplify right side
    424,539x = 393,239,986,832.25
  5. Step 5: Solve for x
    x = 393,239,986,832.25/424,539
  6. Step 6: Final answer
    x = 926,275.29

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.