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Finding the Third Proportional to 380,515.50 and 819,898.50

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Solution

The third proportional to 380,515.50 and 819,898.50 is: 1,766,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,515.50 : 819,898.50 = 819,898.50 : x
  2. Step 2: Convert to fraction form
    380,515.50/819,898.50 = 819,898.50/x
  3. Step 3: Cross multiply
    380,515.50x = 819,898.50 × 819,898.50
  4. Step 4: Simplify right side
    380,515.50x = 672,233,550,302.25
  5. Step 5: Solve for x
    x = 672,233,550,302.25/380,515.50
  6. Step 6: Final answer
    x = 1,766,639.07

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Why These Related Problems?

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