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Finding the Third Proportional to 725,132 and 1,019,328

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Solution

The third proportional to 725,132 and 1,019,328 is: 1,432,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,132 : 1,019,328 = 1,019,328 : x
  2. Step 2: Convert to fraction form
    725,132/1,019,328 = 1,019,328/x
  3. Step 3: Cross multiply
    725,132x = 1,019,328 × 1,019,328
  4. Step 4: Simplify right side
    725,132x = 1,039,029,571,584
  5. Step 5: Solve for x
    x = 1,039,029,571,584/725,132
  6. Step 6: Final answer
    x = 1,432,883.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.