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Finding the Third Proportional to 322,584 and 700,384

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Solution

The third proportional to 322,584 and 700,384 is: 1,520,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,584 : 700,384 = 700,384 : x
  2. Step 2: Convert to fraction form
    322,584/700,384 = 700,384/x
  3. Step 3: Cross multiply
    322,584x = 700,384 × 700,384
  4. Step 4: Simplify right side
    322,584x = 490,537,747,456
  5. Step 5: Solve for x
    x = 490,537,747,456/322,584
  6. Step 6: Final answer
    x = 1,520,651.20

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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.