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Finding the Third Proportional to 251,026 and 542,840

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Solution

The third proportional to 251,026 and 542,840 is: 1,173,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,026 : 542,840 = 542,840 : x
  2. Step 2: Convert to fraction form
    251,026/542,840 = 542,840/x
  3. Step 3: Cross multiply
    251,026x = 542,840 × 542,840
  4. Step 4: Simplify right side
    251,026x = 294,675,265,600
  5. Step 5: Solve for x
    x = 294,675,265,600/251,026
  6. Step 6: Final answer
    x = 1,173,883.44

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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.