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Finding the Third Proportional to 276,051 and 587,094

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Solution

The third proportional to 276,051 and 587,094 is: 1,248,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,051 : 587,094 = 587,094 : x
  2. Step 2: Convert to fraction form
    276,051/587,094 = 587,094/x
  3. Step 3: Cross multiply
    276,051x = 587,094 × 587,094
  4. Step 4: Simplify right side
    276,051x = 344,679,364,836
  5. Step 5: Solve for x
    x = 344,679,364,836/276,051
  6. Step 6: Final answer
    x = 1,248,607.56

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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.