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Finding the Third Proportional to 322,022 and 707,788

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Solution

The third proportional to 322,022 and 707,788 is: 1,555,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,022 : 707,788 = 707,788 : x
  2. Step 2: Convert to fraction form
    322,022/707,788 = 707,788/x
  3. Step 3: Cross multiply
    322,022x = 707,788 × 707,788
  4. Step 4: Simplify right side
    322,022x = 500,963,852,944
  5. Step 5: Solve for x
    x = 500,963,852,944/322,022
  6. Step 6: Final answer
    x = 1,555,682.07

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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.