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Finding the Third Proportional to 345,390.75 and 532,851.75

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Solution

The third proportional to 345,390.75 and 532,851.75 is: 822,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,390.75 : 532,851.75 = 532,851.75 : x
  2. Step 2: Convert to fraction form
    345,390.75/532,851.75 = 532,851.75/x
  3. Step 3: Cross multiply
    345,390.75x = 532,851.75 × 532,851.75
  4. Step 4: Simplify right side
    345,390.75x = 283,930,987,478.06
  5. Step 5: Solve for x
    x = 283,930,987,478.06/345,390.75
  6. Step 6: Final answer
    x = 822,057.30

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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.