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Finding the Third Proportional to 350,677 and 766,963

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Solution

The third proportional to 350,677 and 766,963 is: 1,677,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,677 : 766,963 = 766,963 : x
  2. Step 2: Convert to fraction form
    350,677/766,963 = 766,963/x
  3. Step 3: Cross multiply
    350,677x = 766,963 × 766,963
  4. Step 4: Simplify right side
    350,677x = 588,232,243,369
  5. Step 5: Solve for x
    x = 588,232,243,369/350,677
  6. Step 6: Final answer
    x = 1,677,418.94

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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.