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Finding the Third Proportional to 341,612 and 542,831

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Solution

The third proportional to 341,612 and 542,831 is: 862,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,612 : 542,831 = 542,831 : x
  2. Step 2: Convert to fraction form
    341,612/542,831 = 542,831/x
  3. Step 3: Cross multiply
    341,612x = 542,831 × 542,831
  4. Step 4: Simplify right side
    341,612x = 294,665,494,561
  5. Step 5: Solve for x
    x = 294,665,494,561/341,612
  6. Step 6: Final answer
    x = 862,573.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.