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Finding the Third Proportional to 348,452.44 and 532,675.69

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Solution

The third proportional to 348,452.44 and 532,675.69 is: 814,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,452.44 : 532,675.69 = 532,675.69 : x
  2. Step 2: Convert to fraction form
    348,452.44/532,675.69 = 532,675.69/x
  3. Step 3: Cross multiply
    348,452.44x = 532,675.69 × 532,675.69
  4. Step 4: Simplify right side
    348,452.44x = 283,743,388,053.60
  5. Step 5: Solve for x
    x = 283,743,388,053.60/348,452.44
  6. Step 6: Final answer
    x = 814,295.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.