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Finding the Third Proportional to 257,748 and 567,822

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Solution

The third proportional to 257,748 and 567,822 is: 1,250,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,748 : 567,822 = 567,822 : x
  2. Step 2: Convert to fraction form
    257,748/567,822 = 567,822/x
  3. Step 3: Cross multiply
    257,748x = 567,822 × 567,822
  4. Step 4: Simplify right side
    257,748x = 322,421,823,684
  5. Step 5: Solve for x
    x = 322,421,823,684/257,748
  6. Step 6: Final answer
    x = 1,250,918.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.