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Finding the Third Proportional to 344,217 and 745,620

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Solution

The third proportional to 344,217 and 745,620 is: 1,615,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,217 : 745,620 = 745,620 : x
  2. Step 2: Convert to fraction form
    344,217/745,620 = 745,620/x
  3. Step 3: Cross multiply
    344,217x = 745,620 × 745,620
  4. Step 4: Simplify right side
    344,217x = 555,949,184,400
  5. Step 5: Solve for x
    x = 555,949,184,400/344,217
  6. Step 6: Final answer
    x = 1,615,112.51

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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.