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Finding the Third Proportional to 371,615.50 and 814,227.50

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Solution

The third proportional to 371,615.50 and 814,227.50 is: 1,784,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,615.50 : 814,227.50 = 814,227.50 : x
  2. Step 2: Convert to fraction form
    371,615.50/814,227.50 = 814,227.50/x
  3. Step 3: Cross multiply
    371,615.50x = 814,227.50 × 814,227.50
  4. Step 4: Simplify right side
    371,615.50x = 662,966,421,756.25
  5. Step 5: Solve for x
    x = 662,966,421,756.25/371,615.50
  6. Step 6: Final answer
    x = 1,784,011.76

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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.