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Finding the Third Proportional to 276,468 and 415,758

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Solution

The third proportional to 276,468 and 415,758 is: 625,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,468 : 415,758 = 415,758 : x
  2. Step 2: Convert to fraction form
    276,468/415,758 = 415,758/x
  3. Step 3: Cross multiply
    276,468x = 415,758 × 415,758
  4. Step 4: Simplify right side
    276,468x = 172,854,714,564
  5. Step 5: Solve for x
    x = 172,854,714,564/276,468
  6. Step 6: Final answer
    x = 625,225.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.