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Finding the Third Proportional to 322,017 and 707,778

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Solution

The third proportional to 322,017 and 707,778 is: 1,555,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,017 : 707,778 = 707,778 : x
  2. Step 2: Convert to fraction form
    322,017/707,778 = 707,778/x
  3. Step 3: Cross multiply
    322,017x = 707,778 × 707,778
  4. Step 4: Simplify right side
    322,017x = 500,949,697,284
  5. Step 5: Solve for x
    x = 500,949,697,284/322,017
  6. Step 6: Final answer
    x = 1,555,662.27

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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.