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Finding the Third Proportional to 340,743 and 747,096

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Solution

The third proportional to 340,743 and 747,096 is: 1,638,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,743 : 747,096 = 747,096 : x
  2. Step 2: Convert to fraction form
    340,743/747,096 = 747,096/x
  3. Step 3: Cross multiply
    340,743x = 747,096 × 747,096
  4. Step 4: Simplify right side
    340,743x = 558,152,433,216
  5. Step 5: Solve for x
    x = 558,152,433,216/340,743
  6. Step 6: Final answer
    x = 1,638,045.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.