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Finding the Third Proportional to 359,466 and 563,847

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Solution

The third proportional to 359,466 and 563,847 is: 884,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,466 : 563,847 = 563,847 : x
  2. Step 2: Convert to fraction form
    359,466/563,847 = 563,847/x
  3. Step 3: Cross multiply
    359,466x = 563,847 × 563,847
  4. Step 4: Simplify right side
    359,466x = 317,923,439,409
  5. Step 5: Solve for x
    x = 317,923,439,409/359,466
  6. Step 6: Final answer
    x = 884,432.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.