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Finding the Third Proportional to 567,744 and 1,236,288

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Solution

The third proportional to 567,744 and 1,236,288 is: 2,692,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,744 : 1,236,288 = 1,236,288 : x
  2. Step 2: Convert to fraction form
    567,744/1,236,288 = 1,236,288/x
  3. Step 3: Cross multiply
    567,744x = 1,236,288 × 1,236,288
  4. Step 4: Simplify right side
    567,744x = 1,528,408,018,944
  5. Step 5: Solve for x
    x = 1,528,408,018,944/567,744
  6. Step 6: Final answer
    x = 2,692,072.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.