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Finding the Third Proportional to 251,434 and 542,072

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Solution

The third proportional to 251,434 and 542,072 is: 1,168,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,434 : 542,072 = 542,072 : x
  2. Step 2: Convert to fraction form
    251,434/542,072 = 542,072/x
  3. Step 3: Cross multiply
    251,434x = 542,072 × 542,072
  4. Step 4: Simplify right side
    251,434x = 293,842,053,184
  5. Step 5: Solve for x
    x = 293,842,053,184/251,434
  6. Step 6: Final answer
    x = 1,168,664.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.