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Finding the Third Proportional to 349,944 and 542,900

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Solution

The third proportional to 349,944 and 542,900 is: 842,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,944 : 542,900 = 542,900 : x
  2. Step 2: Convert to fraction form
    349,944/542,900 = 542,900/x
  3. Step 3: Cross multiply
    349,944x = 542,900 × 542,900
  4. Step 4: Simplify right side
    349,944x = 294,740,410,000
  5. Step 5: Solve for x
    x = 294,740,410,000/349,944
  6. Step 6: Final answer
    x = 842,250.22

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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.