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Finding the Third Proportional to 387,432 and 598,716

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Solution

The third proportional to 387,432 and 598,716 is: 925,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,432 : 598,716 = 598,716 : x
  2. Step 2: Convert to fraction form
    387,432/598,716 = 598,716/x
  3. Step 3: Cross multiply
    387,432x = 598,716 × 598,716
  4. Step 4: Simplify right side
    387,432x = 358,460,848,656
  5. Step 5: Solve for x
    x = 358,460,848,656/387,432
  6. Step 6: Final answer
    x = 925,222.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.