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Finding the Third Proportional to 468,108 and 706,302

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Solution

The third proportional to 468,108 and 706,302 is: 1,065,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,108 : 706,302 = 706,302 : x
  2. Step 2: Convert to fraction form
    468,108/706,302 = 706,302/x
  3. Step 3: Cross multiply
    468,108x = 706,302 × 706,302
  4. Step 4: Simplify right side
    468,108x = 498,862,515,204
  5. Step 5: Solve for x
    x = 498,862,515,204/468,108
  6. Step 6: Final answer
    x = 1,065,699.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.