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Finding the Third Proportional to 489,298 and 756,214

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Solution

The third proportional to 489,298 and 756,214 is: 1,168,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,298 : 756,214 = 756,214 : x
  2. Step 2: Convert to fraction form
    489,298/756,214 = 756,214/x
  3. Step 3: Cross multiply
    489,298x = 756,214 × 756,214
  4. Step 4: Simplify right side
    489,298x = 571,859,613,796
  5. Step 5: Solve for x
    x = 571,859,613,796/489,298
  6. Step 6: Final answer
    x = 1,168,734.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.