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Finding the Third Proportional to 435,916 and 588,775

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Solution

The third proportional to 435,916 and 588,775 is: 795,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,916 : 588,775 = 588,775 : x
  2. Step 2: Convert to fraction form
    435,916/588,775 = 588,775/x
  3. Step 3: Cross multiply
    435,916x = 588,775 × 588,775
  4. Step 4: Simplify right side
    435,916x = 346,656,000,625
  5. Step 5: Solve for x
    x = 346,656,000,625/435,916
  6. Step 6: Final answer
    x = 795,235.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.