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Finding the Third Proportional to 375,350 and 563,519

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Solution

The third proportional to 375,350 and 563,519 is: 846,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,350 : 563,519 = 563,519 : x
  2. Step 2: Convert to fraction form
    375,350/563,519 = 563,519/x
  3. Step 3: Cross multiply
    375,350x = 563,519 × 563,519
  4. Step 4: Simplify right side
    375,350x = 317,553,663,361
  5. Step 5: Solve for x
    x = 317,553,663,361/375,350
  6. Step 6: Final answer
    x = 846,020.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.