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Finding the Third Proportional to 571,757.06 and 762,237

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Solution

The third proportional to 571,757.06 and 762,237 is: 1,016,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,757.06 : 762,237 = 762,237 : x
  2. Step 2: Convert to fraction form
    571,757.06/762,237 = 762,237/x
  3. Step 3: Cross multiply
    571,757.06x = 762,237 × 762,237
  4. Step 4: Simplify right side
    571,757.06x = 581,005,244,169
  5. Step 5: Solve for x
    x = 581,005,244,169/571,757.06
  6. Step 6: Final answer
    x = 1,016,175.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.