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Finding the Third Proportional to 379,793.81 and 587,886.19

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Solution

The third proportional to 379,793.81 and 587,886.19 is: 909,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,793.81 : 587,886.19 = 587,886.19 : x
  2. Step 2: Convert to fraction form
    379,793.81/587,886.19 = 587,886.19/x
  3. Step 3: Cross multiply
    379,793.81x = 587,886.19 × 587,886.19
  4. Step 4: Simplify right side
    379,793.81x = 345,610,169,453.29
  5. Step 5: Solve for x
    x = 345,610,169,453.29/379,793.81
  6. Step 6: Final answer
    x = 909,994.21

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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.