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Finding the Third Proportional to 327,798 and 506,253.38

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Solution

The third proportional to 327,798 and 506,253.38 is: 781,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,798 : 506,253.38 = 506,253.38 : x
  2. Step 2: Convert to fraction form
    327,798/506,253.38 = 506,253.38/x
  3. Step 3: Cross multiply
    327,798x = 506,253.38 × 506,253.38
  4. Step 4: Simplify right side
    327,798x = 256,292,479,698.89
  5. Step 5: Solve for x
    x = 256,292,479,698.89/327,798
  6. Step 6: Final answer
    x = 781,861.02

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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.