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Finding the Third Proportional to 251,433 and 542,070

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Solution

The third proportional to 251,433 and 542,070 is: 1,168,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,433 : 542,070 = 542,070 : x
  2. Step 2: Convert to fraction form
    251,433/542,070 = 542,070/x
  3. Step 3: Cross multiply
    251,433x = 542,070 × 542,070
  4. Step 4: Simplify right side
    251,433x = 293,839,884,900
  5. Step 5: Solve for x
    x = 293,839,884,900/251,433
  6. Step 6: Final answer
    x = 1,168,660.78

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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.