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Finding the Third Proportional to 322,202 and 699,784

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Solution

The third proportional to 322,202 and 699,784 is: 1,519,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,202 : 699,784 = 699,784 : x
  2. Step 2: Convert to fraction form
    322,202/699,784 = 699,784/x
  3. Step 3: Cross multiply
    322,202x = 699,784 × 699,784
  4. Step 4: Simplify right side
    322,202x = 489,697,646,656
  5. Step 5: Solve for x
    x = 489,697,646,656/322,202
  6. Step 6: Final answer
    x = 1,519,846.70

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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.