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Finding the Third Proportional to 272,382 and 537,789

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Solution

The third proportional to 272,382 and 537,789 is: 1,061,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,382 : 537,789 = 537,789 : x
  2. Step 2: Convert to fraction form
    272,382/537,789 = 537,789/x
  3. Step 3: Cross multiply
    272,382x = 537,789 × 537,789
  4. Step 4: Simplify right side
    272,382x = 289,217,008,521
  5. Step 5: Solve for x
    x = 289,217,008,521/272,382
  6. Step 6: Final answer
    x = 1,061,806.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.