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Finding the Third Proportional to 447,031.50 and 969,751.50

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Solution

The third proportional to 447,031.50 and 969,751.50 is: 2,103,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,031.50 : 969,751.50 = 969,751.50 : x
  2. Step 2: Convert to fraction form
    447,031.50/969,751.50 = 969,751.50/x
  3. Step 3: Cross multiply
    447,031.50x = 969,751.50 × 969,751.50
  4. Step 4: Simplify right side
    447,031.50x = 940,417,971,752.25
  5. Step 5: Solve for x
    x = 940,417,971,752.25/447,031.50
  6. Step 6: Final answer
    x = 2,103,695.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.