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Finding the Third Proportional to 254,239 and 547,396

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Solution

The third proportional to 254,239 and 547,396 is: 1,178,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,239 : 547,396 = 547,396 : x
  2. Step 2: Convert to fraction form
    254,239/547,396 = 547,396/x
  3. Step 3: Cross multiply
    254,239x = 547,396 × 547,396
  4. Step 4: Simplify right side
    254,239x = 299,642,380,816
  5. Step 5: Solve for x
    x = 299,642,380,816/254,239
  6. Step 6: Final answer
    x = 1,178,585.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.