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Finding the Third Proportional to 387,909 and 599,116.50

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Solution

The third proportional to 387,909 and 599,116.50 is: 925,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,909 : 599,116.50 = 599,116.50 : x
  2. Step 2: Convert to fraction form
    387,909/599,116.50 = 599,116.50/x
  3. Step 3: Cross multiply
    387,909x = 599,116.50 × 599,116.50
  4. Step 4: Simplify right side
    387,909x = 358,940,580,572.25
  5. Step 5: Solve for x
    x = 358,940,580,572.25/387,909
  6. Step 6: Final answer
    x = 925,321.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.