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Finding the Third Proportional to 359,192 and 563,466

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Solution

The third proportional to 359,192 and 563,466 is: 883,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,192 : 563,466 = 563,466 : x
  2. Step 2: Convert to fraction form
    359,192/563,466 = 563,466/x
  3. Step 3: Cross multiply
    359,192x = 563,466 × 563,466
  4. Step 4: Simplify right side
    359,192x = 317,493,933,156
  5. Step 5: Solve for x
    x = 317,493,933,156/359,192
  6. Step 6: Final answer
    x = 883,911.48

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