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Finding the Third Proportional to 359,359 and 563,723

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Solution

The third proportional to 359,359 and 563,723 is: 884,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,359 : 563,723 = 563,723 : x
  2. Step 2: Convert to fraction form
    359,359/563,723 = 563,723/x
  3. Step 3: Cross multiply
    359,359x = 563,723 × 563,723
  4. Step 4: Simplify right side
    359,359x = 317,783,620,729
  5. Step 5: Solve for x
    x = 317,783,620,729/359,359
  6. Step 6: Final answer
    x = 884,306.84

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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.