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Finding the Third Proportional to 345,919 and 757,448

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Solution

The third proportional to 345,919 and 757,448 is: 1,658,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,919 : 757,448 = 757,448 : x
  2. Step 2: Convert to fraction form
    345,919/757,448 = 757,448/x
  3. Step 3: Cross multiply
    345,919x = 757,448 × 757,448
  4. Step 4: Simplify right side
    345,919x = 573,727,472,704
  5. Step 5: Solve for x
    x = 573,727,472,704/345,919
  6. Step 6: Final answer
    x = 1,658,560.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.