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Finding the Third Proportional to 387,045 and 598,065

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Solution

The third proportional to 387,045 and 598,065 is: 924,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,045 : 598,065 = 598,065 : x
  2. Step 2: Convert to fraction form
    387,045/598,065 = 598,065/x
  3. Step 3: Cross multiply
    387,045x = 598,065 × 598,065
  4. Step 4: Simplify right side
    387,045x = 357,681,744,225
  5. Step 5: Solve for x
    x = 357,681,744,225/387,045
  6. Step 6: Final answer
    x = 924,134.78

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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.