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Finding the Third Proportional to 435,915 and 588,774

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Solution

The third proportional to 435,915 and 588,774 is: 795,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,915 : 588,774 = 588,774 : x
  2. Step 2: Convert to fraction form
    435,915/588,774 = 588,774/x
  3. Step 3: Cross multiply
    435,915x = 588,774 × 588,774
  4. Step 4: Simplify right side
    435,915x = 346,654,823,076
  5. Step 5: Solve for x
    x = 346,654,823,076/435,915
  6. Step 6: Final answer
    x = 795,234.90

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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.