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Finding the Third Proportional to 442,867.50 and 1,034,451

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Solution

The third proportional to 442,867.50 and 1,034,451 is: 2,416,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,867.50 : 1,034,451 = 1,034,451 : x
  2. Step 2: Convert to fraction form
    442,867.50/1,034,451 = 1,034,451/x
  3. Step 3: Cross multiply
    442,867.50x = 1,034,451 × 1,034,451
  4. Step 4: Simplify right side
    442,867.50x = 1,070,088,871,401
  5. Step 5: Solve for x
    x = 1,070,088,871,401/442,867.50
  6. Step 6: Final answer
    x = 2,416,273.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.