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Finding the Third Proportional to 380,878.50 and 819,877.50

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Solution

The third proportional to 380,878.50 and 819,877.50 is: 1,764,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,878.50 : 819,877.50 = 819,877.50 : x
  2. Step 2: Convert to fraction form
    380,878.50/819,877.50 = 819,877.50/x
  3. Step 3: Cross multiply
    380,878.50x = 819,877.50 × 819,877.50
  4. Step 4: Simplify right side
    380,878.50x = 672,199,115,006.25
  5. Step 5: Solve for x
    x = 672,199,115,006.25/380,878.50
  6. Step 6: Final answer
    x = 1,764,864.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.