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Finding the Third Proportional to 257,213.25 and 563,463

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Solution

The third proportional to 257,213.25 and 563,463 is: 1,234,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,213.25 : 563,463 = 563,463 : x
  2. Step 2: Convert to fraction form
    257,213.25/563,463 = 563,463/x
  3. Step 3: Cross multiply
    257,213.25x = 563,463 × 563,463
  4. Step 4: Simplify right side
    257,213.25x = 317,490,552,369
  5. Step 5: Solve for x
    x = 317,490,552,369/257,213.25
  6. Step 6: Final answer
    x = 1,234,347.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.