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Finding the Third Proportional to 465,860 and 703,220

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Solution

The third proportional to 465,860 and 703,220 is: 1,061,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,860 : 703,220 = 703,220 : x
  2. Step 2: Convert to fraction form
    465,860/703,220 = 703,220/x
  3. Step 3: Cross multiply
    465,860x = 703,220 × 703,220
  4. Step 4: Simplify right side
    465,860x = 494,518,368,400
  5. Step 5: Solve for x
    x = 494,518,368,400/465,860
  6. Step 6: Final answer
    x = 1,061,517.13

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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.