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Finding the Third Proportional to 360,155.25 and 781,357.50

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Solution

The third proportional to 360,155.25 and 781,357.50 is: 1,695,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,155.25 : 781,357.50 = 781,357.50 : x
  2. Step 2: Convert to fraction form
    360,155.25/781,357.50 = 781,357.50/x
  3. Step 3: Cross multiply
    360,155.25x = 781,357.50 × 781,357.50
  4. Step 4: Simplify right side
    360,155.25x = 610,519,542,806.25
  5. Step 5: Solve for x
    x = 610,519,542,806.25/360,155.25
  6. Step 6: Final answer
    x = 1,695,156.58

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