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Finding the Third Proportional to 345,720 and 564,524

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Solution

The third proportional to 345,720 and 564,524 is: 921,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,720 : 564,524 = 564,524 : x
  2. Step 2: Convert to fraction form
    345,720/564,524 = 564,524/x
  3. Step 3: Cross multiply
    345,720x = 564,524 × 564,524
  4. Step 4: Simplify right side
    345,720x = 318,687,346,576
  5. Step 5: Solve for x
    x = 318,687,346,576/345,720
  6. Step 6: Final answer
    x = 921,807.67

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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.