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Finding the Third Proportional to 401,856.75 and 547,251.75

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Solution

The third proportional to 401,856.75 and 547,251.75 is: 745,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,856.75 : 547,251.75 = 547,251.75 : x
  2. Step 2: Convert to fraction form
    401,856.75/547,251.75 = 547,251.75/x
  3. Step 3: Cross multiply
    401,856.75x = 547,251.75 × 547,251.75
  4. Step 4: Simplify right side
    401,856.75x = 299,484,477,878.06
  5. Step 5: Solve for x
    x = 299,484,477,878.06/401,856.75
  6. Step 6: Final answer
    x = 745,251.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.