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Finding the Third Proportional to 475,449.75 and 1,031,535

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Solution

The third proportional to 475,449.75 and 1,031,535 is: 2,238,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,449.75 : 1,031,535 = 1,031,535 : x
  2. Step 2: Convert to fraction form
    475,449.75/1,031,535 = 1,031,535/x
  3. Step 3: Cross multiply
    475,449.75x = 1,031,535 × 1,031,535
  4. Step 4: Simplify right side
    475,449.75x = 1,064,064,456,225
  5. Step 5: Solve for x
    x = 1,064,064,456,225/475,449.75
  6. Step 6: Final answer
    x = 2,238,016.65

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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.