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Finding the Third Proportional to 359,234 and 563,529

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Solution

The third proportional to 359,234 and 563,529 is: 884,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,234 : 563,529 = 563,529 : x
  2. Step 2: Convert to fraction form
    359,234/563,529 = 563,529/x
  3. Step 3: Cross multiply
    359,234x = 563,529 × 563,529
  4. Step 4: Simplify right side
    359,234x = 317,564,933,841
  5. Step 5: Solve for x
    x = 317,564,933,841/359,234
  6. Step 6: Final answer
    x = 884,005.78

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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.