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Finding the Third Proportional to 345,360 and 532,812

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Solution

The third proportional to 345,360 and 532,812 is: 822,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,360 : 532,812 = 532,812 : x
  2. Step 2: Convert to fraction form
    345,360/532,812 = 532,812/x
  3. Step 3: Cross multiply
    345,360x = 532,812 × 532,812
  4. Step 4: Simplify right side
    345,360x = 283,888,627,344
  5. Step 5: Solve for x
    x = 283,888,627,344/345,360
  6. Step 6: Final answer
    x = 822,007.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.