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Finding the Third Proportional to 350,685 and 766,983

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Solution

The third proportional to 350,685 and 766,983 is: 1,677,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,685 : 766,983 = 766,983 : x
  2. Step 2: Convert to fraction form
    350,685/766,983 = 766,983/x
  3. Step 3: Cross multiply
    350,685x = 766,983 × 766,983
  4. Step 4: Simplify right side
    350,685x = 588,262,922,289
  5. Step 5: Solve for x
    x = 588,262,922,289/350,685
  6. Step 6: Final answer
    x = 1,677,468.16

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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.