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Finding the Third Proportional to 542,874 and 798,522

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Solution

The third proportional to 542,874 and 798,522 is: 1,174,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,874 : 798,522 = 798,522 : x
  2. Step 2: Convert to fraction form
    542,874/798,522 = 798,522/x
  3. Step 3: Cross multiply
    542,874x = 798,522 × 798,522
  4. Step 4: Simplify right side
    542,874x = 637,637,384,484
  5. Step 5: Solve for x
    x = 637,637,384,484/542,874
  6. Step 6: Final answer
    x = 1,174,558.71

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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.