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Finding the Third Proportional to 262,829 and 571,791

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Solution

The third proportional to 262,829 and 571,791 is: 1,243,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,829 : 571,791 = 571,791 : x
  2. Step 2: Convert to fraction form
    262,829/571,791 = 571,791/x
  3. Step 3: Cross multiply
    262,829x = 571,791 × 571,791
  4. Step 4: Simplify right side
    262,829x = 326,944,947,681
  5. Step 5: Solve for x
    x = 326,944,947,681/262,829
  6. Step 6: Final answer
    x = 1,243,945.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.