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Finding the Third Proportional to 350,682 and 766,971

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Solution

The third proportional to 350,682 and 766,971 is: 1,677,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,682 : 766,971 = 766,971 : x
  2. Step 2: Convert to fraction form
    350,682/766,971 = 766,971/x
  3. Step 3: Cross multiply
    350,682x = 766,971 × 766,971
  4. Step 4: Simplify right side
    350,682x = 588,244,514,841
  5. Step 5: Solve for x
    x = 588,244,514,841/350,682
  6. Step 6: Final answer
    x = 1,677,430.02

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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.