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Finding the Third Proportional to 321,115.50 and 699,426

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Solution

The third proportional to 321,115.50 and 699,426 is: 1,523,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,115.50 : 699,426 = 699,426 : x
  2. Step 2: Convert to fraction form
    321,115.50/699,426 = 699,426/x
  3. Step 3: Cross multiply
    321,115.50x = 699,426 × 699,426
  4. Step 4: Simplify right side
    321,115.50x = 489,196,729,476
  5. Step 5: Solve for x
    x = 489,196,729,476/321,115.50
  6. Step 6: Final answer
    x = 1,523,429.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.