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Finding the Third Proportional to 257,746 and 567,818

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Solution

The third proportional to 257,746 and 567,818 is: 1,250,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,746 : 567,818 = 567,818 : x
  2. Step 2: Convert to fraction form
    257,746/567,818 = 567,818/x
  3. Step 3: Cross multiply
    257,746x = 567,818 × 567,818
  4. Step 4: Simplify right side
    257,746x = 322,417,281,124
  5. Step 5: Solve for x
    x = 322,417,281,124/257,746
  6. Step 6: Final answer
    x = 1,250,910.90

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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.