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Finding the Third Proportional to 470,675.81 and 1,031,200.88

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Solution

The third proportional to 470,675.81 and 1,031,200.88 is: 2,259,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,675.81 : 1,031,200.88 = 1,031,200.88 : x
  2. Step 2: Convert to fraction form
    470,675.81/1,031,200.88 = 1,031,200.88/x
  3. Step 3: Cross multiply
    470,675.81x = 1,031,200.88 × 1,031,200.88
  4. Step 4: Simplify right side
    470,675.81x = 1,063,375,244,600.77
  5. Step 5: Solve for x
    x = 1,063,375,244,600.77/470,675.81
  6. Step 6: Final answer
    x = 2,259,251.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.