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Finding the Third Proportional to 327,812 and 506,276

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Solution

The third proportional to 327,812 and 506,276 is: 781,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,812 : 506,276 = 506,276 : x
  2. Step 2: Convert to fraction form
    327,812/506,276 = 506,276/x
  3. Step 3: Cross multiply
    327,812x = 506,276 × 506,276
  4. Step 4: Simplify right side
    327,812x = 256,315,388,176
  5. Step 5: Solve for x
    x = 256,315,388,176/327,812
  6. Step 6: Final answer
    x = 781,897.51

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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.