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Finding the Third Proportional to 251,034 and 542,854

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Solution

The third proportional to 251,034 and 542,854 is: 1,173,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,034 : 542,854 = 542,854 : x
  2. Step 2: Convert to fraction form
    251,034/542,854 = 542,854/x
  3. Step 3: Cross multiply
    251,034x = 542,854 × 542,854
  4. Step 4: Simplify right side
    251,034x = 294,690,465,316
  5. Step 5: Solve for x
    x = 294,690,465,316/251,034
  6. Step 6: Final answer
    x = 1,173,906.58

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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.