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Finding the Third Proportional to 371,401.50 and 814,001

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Solution

The third proportional to 371,401.50 and 814,001 is: 1,784,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,401.50 : 814,001 = 814,001 : x
  2. Step 2: Convert to fraction form
    371,401.50/814,001 = 814,001/x
  3. Step 3: Cross multiply
    371,401.50x = 814,001 × 814,001
  4. Step 4: Simplify right side
    371,401.50x = 662,597,628,001
  5. Step 5: Solve for x
    x = 662,597,628,001/371,401.50
  6. Step 6: Final answer
    x = 1,784,046.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.