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Finding the Third Proportional to 276,501 and 564,666

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Solution

The third proportional to 276,501 and 564,666 is: 1,153,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,501 : 564,666 = 564,666 : x
  2. Step 2: Convert to fraction form
    276,501/564,666 = 564,666/x
  3. Step 3: Cross multiply
    276,501x = 564,666 × 564,666
  4. Step 4: Simplify right side
    276,501x = 318,847,691,556
  5. Step 5: Solve for x
    x = 318,847,691,556/276,501
  6. Step 6: Final answer
    x = 1,153,152.04

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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.