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Finding the Third Proportional to 342,472 and 537,218

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Solution

The third proportional to 342,472 and 537,218 is: 842,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,472 : 537,218 = 537,218 : x
  2. Step 2: Convert to fraction form
    342,472/537,218 = 537,218/x
  3. Step 3: Cross multiply
    342,472x = 537,218 × 537,218
  4. Step 4: Simplify right side
    342,472x = 288,603,179,524
  5. Step 5: Solve for x
    x = 288,603,179,524/342,472
  6. Step 6: Final answer
    x = 842,705.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.