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Finding the Third Proportional to 374,312.25 and 811,680.75

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Solution

The third proportional to 374,312.25 and 811,680.75 is: 1,760,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,312.25 : 811,680.75 = 811,680.75 : x
  2. Step 2: Convert to fraction form
    374,312.25/811,680.75 = 811,680.75/x
  3. Step 3: Cross multiply
    374,312.25x = 811,680.75 × 811,680.75
  4. Step 4: Simplify right side
    374,312.25x = 658,825,639,920.56
  5. Step 5: Solve for x
    x = 658,825,639,920.56/374,312.25
  6. Step 6: Final answer
    x = 1,760,096.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.