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Finding the Third Proportional to 542,555 and 798,842

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Solution

The third proportional to 542,555 and 798,842 is: 1,176,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,555 : 798,842 = 798,842 : x
  2. Step 2: Convert to fraction form
    542,555/798,842 = 798,842/x
  3. Step 3: Cross multiply
    542,555x = 798,842 × 798,842
  4. Step 4: Simplify right side
    542,555x = 638,148,540,964
  5. Step 5: Solve for x
    x = 638,148,540,964/542,555
  6. Step 6: Final answer
    x = 1,176,191.43

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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.