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Finding the Third Proportional to 342,243.75 and 532,033.50

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Solution

The third proportional to 342,243.75 and 532,033.50 is: 827,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,243.75 : 532,033.50 = 532,033.50 : x
  2. Step 2: Convert to fraction form
    342,243.75/532,033.50 = 532,033.50/x
  3. Step 3: Cross multiply
    342,243.75x = 532,033.50 × 532,033.50
  4. Step 4: Simplify right side
    342,243.75x = 283,059,645,122.25
  5. Step 5: Solve for x
    x = 283,059,645,122.25/342,243.75
  6. Step 6: Final answer
    x = 827,070.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.