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Finding the Third Proportional to 327,825 and 506,295

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Solution

The third proportional to 327,825 and 506,295 is: 781,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,825 : 506,295 = 506,295 : x
  2. Step 2: Convert to fraction form
    327,825/506,295 = 506,295/x
  3. Step 3: Cross multiply
    327,825x = 506,295 × 506,295
  4. Step 4: Simplify right side
    327,825x = 256,334,627,025
  5. Step 5: Solve for x
    x = 256,334,627,025/327,825
  6. Step 6: Final answer
    x = 781,925.19

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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.