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Finding the Third Proportional to 274,754 and 585,797

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Solution

The third proportional to 274,754 and 585,797 is: 1,248,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,754 : 585,797 = 585,797 : x
  2. Step 2: Convert to fraction form
    274,754/585,797 = 585,797/x
  3. Step 3: Cross multiply
    274,754x = 585,797 × 585,797
  4. Step 4: Simplify right side
    274,754x = 343,158,125,209
  5. Step 5: Solve for x
    x = 343,158,125,209/274,754
  6. Step 6: Final answer
    x = 1,248,964.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.