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Finding the Third Proportional to 276,048 and 587,088

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Solution

The third proportional to 276,048 and 587,088 is: 1,248,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,048 : 587,088 = 587,088 : x
  2. Step 2: Convert to fraction form
    276,048/587,088 = 587,088/x
  3. Step 3: Cross multiply
    276,048x = 587,088 × 587,088
  4. Step 4: Simplify right side
    276,048x = 344,672,319,744
  5. Step 5: Solve for x
    x = 344,672,319,744/276,048
  6. Step 6: Final answer
    x = 1,248,595.61

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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.