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Finding the Third Proportional to 322,110 and 707,940

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Solution

The third proportional to 322,110 and 707,940 is: 1,555,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,110 : 707,940 = 707,940 : x
  2. Step 2: Convert to fraction form
    322,110/707,940 = 707,940/x
  3. Step 3: Cross multiply
    322,110x = 707,940 × 707,940
  4. Step 4: Simplify right side
    322,110x = 501,179,043,600
  5. Step 5: Solve for x
    x = 501,179,043,600/322,110
  6. Step 6: Final answer
    x = 1,555,925.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.