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Finding the Third Proportional to 350,708 and 767,040

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Solution

The third proportional to 350,708 and 767,040 is: 1,677,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,708 : 767,040 = 767,040 : x
  2. Step 2: Convert to fraction form
    350,708/767,040 = 767,040/x
  3. Step 3: Cross multiply
    350,708x = 767,040 × 767,040
  4. Step 4: Simplify right side
    350,708x = 588,350,361,600
  5. Step 5: Solve for x
    x = 588,350,361,600/350,708
  6. Step 6: Final answer
    x = 1,677,607.47

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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.