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Finding the Third Proportional to 385,995.75 and 850,521

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Solution

The third proportional to 385,995.75 and 850,521 is: 1,874,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,995.75 : 850,521 = 850,521 : x
  2. Step 2: Convert to fraction form
    385,995.75/850,521 = 850,521/x
  3. Step 3: Cross multiply
    385,995.75x = 850,521 × 850,521
  4. Step 4: Simplify right side
    385,995.75x = 723,385,971,441
  5. Step 5: Solve for x
    x = 723,385,971,441/385,995.75
  6. Step 6: Final answer
    x = 1,874,077.56

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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.