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Finding the Third Proportional to 465,862 and 703,223

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Solution

The third proportional to 465,862 and 703,223 is: 1,061,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,862 : 703,223 = 703,223 : x
  2. Step 2: Convert to fraction form
    465,862/703,223 = 703,223/x
  3. Step 3: Cross multiply
    465,862x = 703,223 × 703,223
  4. Step 4: Simplify right side
    465,862x = 494,522,587,729
  5. Step 5: Solve for x
    x = 494,522,587,729/465,862
  6. Step 6: Final answer
    x = 1,061,521.63

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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.