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Finding the Third Proportional to 264,508.50 and 587,877

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Solution

The third proportional to 264,508.50 and 587,877 is: 1,306,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,508.50 : 587,877 = 587,877 : x
  2. Step 2: Convert to fraction form
    264,508.50/587,877 = 587,877/x
  3. Step 3: Cross multiply
    264,508.50x = 587,877 × 587,877
  4. Step 4: Simplify right side
    264,508.50x = 345,599,367,129
  5. Step 5: Solve for x
    x = 345,599,367,129/264,508.50
  6. Step 6: Final answer
    x = 1,306,571.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.