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Finding the Third Proportional to 259,798 and 532,476

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Solution

The third proportional to 259,798 and 532,476 is: 1,091,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,798 : 532,476 = 532,476 : x
  2. Step 2: Convert to fraction form
    259,798/532,476 = 532,476/x
  3. Step 3: Cross multiply
    259,798x = 532,476 × 532,476
  4. Step 4: Simplify right side
    259,798x = 283,530,690,576
  5. Step 5: Solve for x
    x = 283,530,690,576/259,798
  6. Step 6: Final answer
    x = 1,091,350.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.