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Finding the Third Proportional to 614,257.50 and 929,979

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Solution

The third proportional to 614,257.50 and 929,979 is: 1,407,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,257.50 : 929,979 = 929,979 : x
  2. Step 2: Convert to fraction form
    614,257.50/929,979 = 929,979/x
  3. Step 3: Cross multiply
    614,257.50x = 929,979 × 929,979
  4. Step 4: Simplify right side
    614,257.50x = 864,860,940,441
  5. Step 5: Solve for x
    x = 864,860,940,441/614,257.50
  6. Step 6: Final answer
    x = 1,407,977.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.