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Finding the Third Proportional to 349,982 and 542,955

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Solution

The third proportional to 349,982 and 542,955 is: 842,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,982 : 542,955 = 542,955 : x
  2. Step 2: Convert to fraction form
    349,982/542,955 = 542,955/x
  3. Step 3: Cross multiply
    349,982x = 542,955 × 542,955
  4. Step 4: Simplify right side
    349,982x = 294,800,132,025
  5. Step 5: Solve for x
    x = 294,800,132,025/349,982
  6. Step 6: Final answer
    x = 842,329.41

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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.