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Finding the Third Proportional to 344,286 and 745,743

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Solution

The third proportional to 344,286 and 745,743 is: 1,615,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,286 : 745,743 = 745,743 : x
  2. Step 2: Convert to fraction form
    344,286/745,743 = 745,743/x
  3. Step 3: Cross multiply
    344,286x = 745,743 × 745,743
  4. Step 4: Simplify right side
    344,286x = 556,132,622,049
  5. Step 5: Solve for x
    x = 556,132,622,049/344,286
  6. Step 6: Final answer
    x = 1,615,321.63

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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.