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Finding the Third Proportional to 359,512 and 563,920

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Solution

The third proportional to 359,512 and 563,920 is: 884,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,512 : 563,920 = 563,920 : x
  2. Step 2: Convert to fraction form
    359,512/563,920 = 563,920/x
  3. Step 3: Cross multiply
    359,512x = 563,920 × 563,920
  4. Step 4: Simplify right side
    359,512x = 318,005,766,400
  5. Step 5: Solve for x
    x = 318,005,766,400/359,512
  6. Step 6: Final answer
    x = 884,548.41

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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.