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Finding the Third Proportional to 345,865.50 and 752,307

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Solution

The third proportional to 345,865.50 and 752,307 is: 1,636,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,865.50 : 752,307 = 752,307 : x
  2. Step 2: Convert to fraction form
    345,865.50/752,307 = 752,307/x
  3. Step 3: Cross multiply
    345,865.50x = 752,307 × 752,307
  4. Step 4: Simplify right side
    345,865.50x = 565,965,822,249
  5. Step 5: Solve for x
    x = 565,965,822,249/345,865.50
  6. Step 6: Final answer
    x = 1,636,375.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.