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Finding the Third Proportional to 257,788 and 567,900

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Solution

The third proportional to 257,788 and 567,900 is: 1,251,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,788 : 567,900 = 567,900 : x
  2. Step 2: Convert to fraction form
    257,788/567,900 = 567,900/x
  3. Step 3: Cross multiply
    257,788x = 567,900 × 567,900
  4. Step 4: Simplify right side
    257,788x = 322,510,410,000
  5. Step 5: Solve for x
    x = 322,510,410,000/257,788
  6. Step 6: Final answer
    x = 1,251,068.36

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