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Finding the Third Proportional to 261,168 and 571,548

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Solution

The third proportional to 261,168 and 571,548 is: 1,250,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,168 : 571,548 = 571,548 : x
  2. Step 2: Convert to fraction form
    261,168/571,548 = 571,548/x
  3. Step 3: Cross multiply
    261,168x = 571,548 × 571,548
  4. Step 4: Simplify right side
    261,168x = 326,667,116,304
  5. Step 5: Solve for x
    x = 326,667,116,304/261,168
  6. Step 6: Final answer
    x = 1,250,793.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.