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Finding the Third Proportional to 263,538 and 564,254

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Solution

The third proportional to 263,538 and 564,254 is: 1,208,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,538 : 564,254 = 564,254 : x
  2. Step 2: Convert to fraction form
    263,538/564,254 = 564,254/x
  3. Step 3: Cross multiply
    263,538x = 564,254 × 564,254
  4. Step 4: Simplify right side
    263,538x = 318,382,576,516
  5. Step 5: Solve for x
    x = 318,382,576,516/263,538
  6. Step 6: Final answer
    x = 1,208,108.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.