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Finding the Third Proportional to 382,132.69 and 535,599.84

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Solution

The third proportional to 382,132.69 and 535,599.84 is: 750,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,132.69 : 535,599.84 = 535,599.84 : x
  2. Step 2: Convert to fraction form
    382,132.69/535,599.84 = 535,599.84/x
  3. Step 3: Cross multiply
    382,132.69x = 535,599.84 × 535,599.84
  4. Step 4: Simplify right side
    382,132.69x = 286,867,192,625.02
  5. Step 5: Solve for x
    x = 286,867,192,625.02/382,132.69
  6. Step 6: Final answer
    x = 750,700.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.