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Finding the Third Proportional to 350,012 and 542,982

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Solution

The third proportional to 350,012 and 542,982 is: 842,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,012 : 542,982 = 542,982 : x
  2. Step 2: Convert to fraction form
    350,012/542,982 = 542,982/x
  3. Step 3: Cross multiply
    350,012x = 542,982 × 542,982
  4. Step 4: Simplify right side
    350,012x = 294,829,452,324
  5. Step 5: Solve for x
    x = 294,829,452,324/350,012
  6. Step 6: Final answer
    x = 842,340.98

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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.