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Finding the Third Proportional to 343,488 and 744,150

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Solution

The third proportional to 343,488 and 744,150 is: 1,612,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,488 : 744,150 = 744,150 : x
  2. Step 2: Convert to fraction form
    343,488/744,150 = 744,150/x
  3. Step 3: Cross multiply
    343,488x = 744,150 × 744,150
  4. Step 4: Simplify right side
    343,488x = 553,759,222,500
  5. Step 5: Solve for x
    x = 553,759,222,500/343,488
  6. Step 6: Final answer
    x = 1,612,164.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.