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Finding the Third Proportional to 407,531.25 and 563,092.88

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Solution

The third proportional to 407,531.25 and 563,092.88 is: 778,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,531.25 : 563,092.88 = 563,092.88 : x
  2. Step 2: Convert to fraction form
    407,531.25/563,092.88 = 563,092.88/x
  3. Step 3: Cross multiply
    407,531.25x = 563,092.88 × 563,092.88
  4. Step 4: Simplify right side
    407,531.25x = 317,073,585,875.77
  5. Step 5: Solve for x
    x = 317,073,585,875.77/407,531.25
  6. Step 6: Final answer
    x = 778,035.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.