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Finding the Third Proportional to 379,335.66 and 587,323.41

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Solution

The third proportional to 379,335.66 and 587,323.41 is: 909,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,335.66 : 587,323.41 = 587,323.41 : x
  2. Step 2: Convert to fraction form
    379,335.66/587,323.41 = 587,323.41/x
  3. Step 3: Cross multiply
    379,335.66x = 587,323.41 × 587,323.41
  4. Step 4: Simplify right side
    379,335.66x = 344,948,783,529.10
  5. Step 5: Solve for x
    x = 344,948,783,529.10/379,335.66
  6. Step 6: Final answer
    x = 909,349.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.