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Finding the Third Proportional to 257,568 and 564,342

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Solution

The third proportional to 257,568 and 564,342 is: 1,236,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,568 : 564,342 = 564,342 : x
  2. Step 2: Convert to fraction form
    257,568/564,342 = 564,342/x
  3. Step 3: Cross multiply
    257,568x = 564,342 × 564,342
  4. Step 4: Simplify right side
    257,568x = 318,481,892,964
  5. Step 5: Solve for x
    x = 318,481,892,964/257,568
  6. Step 6: Final answer
    x = 1,236,496.35

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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.