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Finding the Third Proportional to 272,440 and 537,894

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Solution

The third proportional to 272,440 and 537,894 is: 1,061,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,440 : 537,894 = 537,894 : x
  2. Step 2: Convert to fraction form
    272,440/537,894 = 537,894/x
  3. Step 3: Cross multiply
    272,440x = 537,894 × 537,894
  4. Step 4: Simplify right side
    272,440x = 289,329,955,236
  5. Step 5: Solve for x
    x = 289,329,955,236/272,440
  6. Step 6: Final answer
    x = 1,061,995.14

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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.