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Finding the Third Proportional to 542,553 and 798,839

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Solution

The third proportional to 542,553 and 798,839 is: 1,176,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,553 : 798,839 = 798,839 : x
  2. Step 2: Convert to fraction form
    542,553/798,839 = 798,839/x
  3. Step 3: Cross multiply
    542,553x = 798,839 × 798,839
  4. Step 4: Simplify right side
    542,553x = 638,143,747,921
  5. Step 5: Solve for x
    x = 638,143,747,921/542,553
  6. Step 6: Final answer
    x = 1,176,186.93

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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.