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Finding the Third Proportional to 322,073 and 699,641

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Solution

The third proportional to 322,073 and 699,641 is: 1,519,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,073 : 699,641 = 699,641 : x
  2. Step 2: Convert to fraction form
    322,073/699,641 = 699,641/x
  3. Step 3: Cross multiply
    322,073x = 699,641 × 699,641
  4. Step 4: Simplify right side
    322,073x = 489,497,528,881
  5. Step 5: Solve for x
    x = 489,497,528,881/322,073
  6. Step 6: Final answer
    x = 1,519,834.10

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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.