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Finding the Third Proportional to 571,791 and 838,588

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Solution

The third proportional to 571,791 and 838,588 is: 1,229,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,791 : 838,588 = 838,588 : x
  2. Step 2: Convert to fraction form
    571,791/838,588 = 838,588/x
  3. Step 3: Cross multiply
    571,791x = 838,588 × 838,588
  4. Step 4: Simplify right side
    571,791x = 703,229,833,744
  5. Step 5: Solve for x
    x = 703,229,833,744/571,791
  6. Step 6: Final answer
    x = 1,229,872.16

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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.