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Finding the Third Proportional to 302,849 and 655,850

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Solution

The third proportional to 302,849 and 655,850 is: 1,420,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,849 : 655,850 = 655,850 : x
  2. Step 2: Convert to fraction form
    302,849/655,850 = 655,850/x
  3. Step 3: Cross multiply
    302,849x = 655,850 × 655,850
  4. Step 4: Simplify right side
    302,849x = 430,139,222,500
  5. Step 5: Solve for x
    x = 430,139,222,500/302,849
  6. Step 6: Final answer
    x = 1,420,309.21

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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.