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Finding the Third Proportional to 328,446 and 707,550

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Solution

The third proportional to 328,446 and 707,550 is: 1,524,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,446 : 707,550 = 707,550 : x
  2. Step 2: Convert to fraction form
    328,446/707,550 = 707,550/x
  3. Step 3: Cross multiply
    328,446x = 707,550 × 707,550
  4. Step 4: Simplify right side
    328,446x = 500,627,002,500
  5. Step 5: Solve for x
    x = 500,627,002,500/328,446
  6. Step 6: Final answer
    x = 1,524,229.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.