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Finding the Third Proportional to 327,228 and 502,803

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Solution

The third proportional to 327,228 and 502,803 is: 772,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,228 : 502,803 = 502,803 : x
  2. Step 2: Convert to fraction form
    327,228/502,803 = 502,803/x
  3. Step 3: Cross multiply
    327,228x = 502,803 × 502,803
  4. Step 4: Simplify right side
    327,228x = 252,810,856,809
  5. Step 5: Solve for x
    x = 252,810,856,809/327,228
  6. Step 6: Final answer
    x = 772,583.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.