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Finding the Third Proportional to 272,938 and 592,496

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Solution

The third proportional to 272,938 and 592,496 is: 1,286,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,938 : 592,496 = 592,496 : x
  2. Step 2: Convert to fraction form
    272,938/592,496 = 592,496/x
  3. Step 3: Cross multiply
    272,938x = 592,496 × 592,496
  4. Step 4: Simplify right side
    272,938x = 351,051,510,016
  5. Step 5: Solve for x
    x = 351,051,510,016/272,938
  6. Step 6: Final answer
    x = 1,286,195.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.