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Finding the Third Proportional to 512,968 and 880,166

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Solution

The third proportional to 512,968 and 880,166 is: 1,510,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,968 : 880,166 = 880,166 : x
  2. Step 2: Convert to fraction form
    512,968/880,166 = 880,166/x
  3. Step 3: Cross multiply
    512,968x = 880,166 × 880,166
  4. Step 4: Simplify right side
    512,968x = 774,692,187,556
  5. Step 5: Solve for x
    x = 774,692,187,556/512,968
  6. Step 6: Final answer
    x = 1,510,215.43

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.