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Finding the Third Proportional to 571,759 and 841,795

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Solution

The third proportional to 571,759 and 841,795 is: 1,239,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,759 : 841,795 = 841,795 : x
  2. Step 2: Convert to fraction form
    571,759/841,795 = 841,795/x
  3. Step 3: Cross multiply
    571,759x = 841,795 × 841,795
  4. Step 4: Simplify right side
    571,759x = 708,618,822,025
  5. Step 5: Solve for x
    x = 708,618,822,025/571,759
  6. Step 6: Final answer
    x = 1,239,366.27

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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.