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Finding the Third Proportional to 322,208 and 699,776

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Solution

The third proportional to 322,208 and 699,776 is: 1,519,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,208 : 699,776 = 699,776 : x
  2. Step 2: Convert to fraction form
    322,208/699,776 = 699,776/x
  3. Step 3: Cross multiply
    322,208x = 699,776 × 699,776
  4. Step 4: Simplify right side
    322,208x = 489,686,450,176
  5. Step 5: Solve for x
    x = 489,686,450,176/322,208
  6. Step 6: Final answer
    x = 1,519,783.65

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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.