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Finding the Third Proportional to 257,587 and 553,262

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Solution

The third proportional to 257,587 and 553,262 is: 1,188,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,587 : 553,262 = 553,262 : x
  2. Step 2: Convert to fraction form
    257,587/553,262 = 553,262/x
  3. Step 3: Cross multiply
    257,587x = 553,262 × 553,262
  4. Step 4: Simplify right side
    257,587x = 306,098,840,644
  5. Step 5: Solve for x
    x = 306,098,840,644/257,587
  6. Step 6: Final answer
    x = 1,188,331.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.