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Finding the Third Proportional to 349,946 and 542,902

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Solution

The third proportional to 349,946 and 542,902 is: 842,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,946 : 542,902 = 542,902 : x
  2. Step 2: Convert to fraction form
    349,946/542,902 = 542,902/x
  3. Step 3: Cross multiply
    349,946x = 542,902 × 542,902
  4. Step 4: Simplify right side
    349,946x = 294,742,581,604
  5. Step 5: Solve for x
    x = 294,742,581,604/349,946
  6. Step 6: Final answer
    x = 842,251.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.