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Finding the Third Proportional to 468,439.88 and 701,379

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Solution

The third proportional to 468,439.88 and 701,379 is: 1,050,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,439.88 : 701,379 = 701,379 : x
  2. Step 2: Convert to fraction form
    468,439.88/701,379 = 701,379/x
  3. Step 3: Cross multiply
    468,439.88x = 701,379 × 701,379
  4. Step 4: Simplify right side
    468,439.88x = 491,932,501,641
  5. Step 5: Solve for x
    x = 491,932,501,641/468,439.88
  6. Step 6: Final answer
    x = 1,050,150.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.