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Finding the Third Proportional to 325,542.75 and 714,115.50

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Solution

The third proportional to 325,542.75 and 714,115.50 is: 1,566,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,542.75 : 714,115.50 = 714,115.50 : x
  2. Step 2: Convert to fraction form
    325,542.75/714,115.50 = 714,115.50/x
  3. Step 3: Cross multiply
    325,542.75x = 714,115.50 × 714,115.50
  4. Step 4: Simplify right side
    325,542.75x = 509,960,947,340.25
  5. Step 5: Solve for x
    x = 509,960,947,340.25/325,542.75
  6. Step 6: Final answer
    x = 1,566,494.56

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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.