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Finding the Third Proportional to 276,857 and 592,103

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Solution

The third proportional to 276,857 and 592,103 is: 1,266,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,857 : 592,103 = 592,103 : x
  2. Step 2: Convert to fraction form
    276,857/592,103 = 592,103/x
  3. Step 3: Cross multiply
    276,857x = 592,103 × 592,103
  4. Step 4: Simplify right side
    276,857x = 350,585,962,609
  5. Step 5: Solve for x
    x = 350,585,962,609/276,857
  6. Step 6: Final answer
    x = 1,266,307.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.