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Finding the Third Proportional to 598,909 and 880,849

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Solution

The third proportional to 598,909 and 880,849 is: 1,295,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,909 : 880,849 = 880,849 : x
  2. Step 2: Convert to fraction form
    598,909/880,849 = 880,849/x
  3. Step 3: Cross multiply
    598,909x = 880,849 × 880,849
  4. Step 4: Simplify right side
    598,909x = 775,894,960,801
  5. Step 5: Solve for x
    x = 775,894,960,801/598,909
  6. Step 6: Final answer
    x = 1,295,513.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.