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Finding the Third Proportional to 276,503 and 564,670

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Solution

The third proportional to 276,503 and 564,670 is: 1,153,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,503 : 564,670 = 564,670 : x
  2. Step 2: Convert to fraction form
    276,503/564,670 = 564,670/x
  3. Step 3: Cross multiply
    276,503x = 564,670 × 564,670
  4. Step 4: Simplify right side
    276,503x = 318,852,208,900
  5. Step 5: Solve for x
    x = 318,852,208,900/276,503
  6. Step 6: Final answer
    x = 1,153,160.03

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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.