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Finding the Third Proportional to 571,703 and 840,427

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Solution

The third proportional to 571,703 and 840,427 is: 1,235,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,703 : 840,427 = 840,427 : x
  2. Step 2: Convert to fraction form
    571,703/840,427 = 840,427/x
  3. Step 3: Cross multiply
    571,703x = 840,427 × 840,427
  4. Step 4: Simplify right side
    571,703x = 706,317,542,329
  5. Step 5: Solve for x
    x = 706,317,542,329/571,703
  6. Step 6: Final answer
    x = 1,235,462.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.