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Finding the Third Proportional to 327,805 and 506,263

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Solution

The third proportional to 327,805 and 506,263 is: 781,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,805 : 506,263 = 506,263 : x
  2. Step 2: Convert to fraction form
    327,805/506,263 = 506,263/x
  3. Step 3: Cross multiply
    327,805x = 506,263 × 506,263
  4. Step 4: Simplify right side
    327,805x = 256,302,225,169
  5. Step 5: Solve for x
    x = 256,302,225,169/327,805
  6. Step 6: Final answer
    x = 781,874.06

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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.