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Finding the Third Proportional to 387,060 and 598,086

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Solution

The third proportional to 387,060 and 598,086 is: 924,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,060 : 598,086 = 598,086 : x
  2. Step 2: Convert to fraction form
    387,060/598,086 = 598,086/x
  3. Step 3: Cross multiply
    387,060x = 598,086 × 598,086
  4. Step 4: Simplify right side
    387,060x = 357,706,863,396
  5. Step 5: Solve for x
    x = 357,706,863,396/387,060
  6. Step 6: Final answer
    x = 924,163.86

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Why These Related Problems?

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