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Finding the Third Proportional to 322,930 and 700,292

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Solution

The third proportional to 322,930 and 700,292 is: 1,518,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,930 : 700,292 = 700,292 : x
  2. Step 2: Convert to fraction form
    322,930/700,292 = 700,292/x
  3. Step 3: Cross multiply
    322,930x = 700,292 × 700,292
  4. Step 4: Simplify right side
    322,930x = 490,408,885,264
  5. Step 5: Solve for x
    x = 490,408,885,264/322,930
  6. Step 6: Final answer
    x = 1,518,622.88

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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.