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Finding the Third Proportional to 353,141 and 537,872

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Solution

The third proportional to 353,141 and 537,872 is: 819,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,141 : 537,872 = 537,872 : x
  2. Step 2: Convert to fraction form
    353,141/537,872 = 537,872/x
  3. Step 3: Cross multiply
    353,141x = 537,872 × 537,872
  4. Step 4: Simplify right side
    353,141x = 289,306,288,384
  5. Step 5: Solve for x
    x = 289,306,288,384/353,141
  6. Step 6: Final answer
    x = 819,237.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.