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Finding the Third Proportional to 251,029 and 542,846

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Solution

The third proportional to 251,029 and 542,846 is: 1,173,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,029 : 542,846 = 542,846 : x
  2. Step 2: Convert to fraction form
    251,029/542,846 = 542,846/x
  3. Step 3: Cross multiply
    251,029x = 542,846 × 542,846
  4. Step 4: Simplify right side
    251,029x = 294,681,779,716
  5. Step 5: Solve for x
    x = 294,681,779,716/251,029
  6. Step 6: Final answer
    x = 1,173,895.37

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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.