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Finding the Third Proportional to 370,869.75 and 794,227.50

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Solution

The third proportional to 370,869.75 and 794,227.50 is: 1,700,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,869.75 : 794,227.50 = 794,227.50 : x
  2. Step 2: Convert to fraction form
    370,869.75/794,227.50 = 794,227.50/x
  3. Step 3: Cross multiply
    370,869.75x = 794,227.50 × 794,227.50
  4. Step 4: Simplify right side
    370,869.75x = 630,797,321,756.25
  5. Step 5: Solve for x
    x = 630,797,321,756.25/370,869.75
  6. Step 6: Final answer
    x = 1,700,859.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.