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Finding the Third Proportional to 276,597 and 563,340

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Solution

The third proportional to 276,597 and 563,340 is: 1,147,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,597 : 563,340 = 563,340 : x
  2. Step 2: Convert to fraction form
    276,597/563,340 = 563,340/x
  3. Step 3: Cross multiply
    276,597x = 563,340 × 563,340
  4. Step 4: Simplify right side
    276,597x = 317,351,955,600
  5. Step 5: Solve for x
    x = 317,351,955,600/276,597
  6. Step 6: Final answer
    x = 1,147,344.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.