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Finding the Third Proportional to 345,864 and 752,328

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Solution

The third proportional to 345,864 and 752,328 is: 1,636,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,864 : 752,328 = 752,328 : x
  2. Step 2: Convert to fraction form
    345,864/752,328 = 752,328/x
  3. Step 3: Cross multiply
    345,864x = 752,328 × 752,328
  4. Step 4: Simplify right side
    345,864x = 565,997,419,584
  5. Step 5: Solve for x
    x = 565,997,419,584/345,864
  6. Step 6: Final answer
    x = 1,636,473.93

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Why These Related Problems?

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