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Finding the Third Proportional to 345,704 and 564,500

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Solution

The third proportional to 345,704 and 564,500 is: 921,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,704 : 564,500 = 564,500 : x
  2. Step 2: Convert to fraction form
    345,704/564,500 = 564,500/x
  3. Step 3: Cross multiply
    345,704x = 564,500 × 564,500
  4. Step 4: Simplify right side
    345,704x = 318,660,250,000
  5. Step 5: Solve for x
    x = 318,660,250,000/345,704
  6. Step 6: Final answer
    x = 921,771.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.