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Finding the Third Proportional to 345,412.50 and 532,884

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Solution

The third proportional to 345,412.50 and 532,884 is: 822,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,412.50 : 532,884 = 532,884 : x
  2. Step 2: Convert to fraction form
    345,412.50/532,884 = 532,884/x
  3. Step 3: Cross multiply
    345,412.50x = 532,884 × 532,884
  4. Step 4: Simplify right side
    345,412.50x = 283,965,357,456
  5. Step 5: Solve for x
    x = 283,965,357,456/345,412.50
  6. Step 6: Final answer
    x = 822,105.04

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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.