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Finding the Third Proportional to 560,771 and 841,872

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Solution

The third proportional to 560,771 and 841,872 is: 1,263,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,771 : 841,872 = 841,872 : x
  2. Step 2: Convert to fraction form
    560,771/841,872 = 841,872/x
  3. Step 3: Cross multiply
    560,771x = 841,872 × 841,872
  4. Step 4: Simplify right side
    560,771x = 708,748,464,384
  5. Step 5: Solve for x
    x = 708,748,464,384/560,771
  6. Step 6: Final answer
    x = 1,263,882.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.