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Finding the Third Proportional to 551,098 and 780,016

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Solution

The third proportional to 551,098 and 780,016 is: 1,104,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,098 : 780,016 = 780,016 : x
  2. Step 2: Convert to fraction form
    551,098/780,016 = 780,016/x
  3. Step 3: Cross multiply
    551,098x = 780,016 × 780,016
  4. Step 4: Simplify right side
    551,098x = 608,424,960,256
  5. Step 5: Solve for x
    x = 608,424,960,256/551,098
  6. Step 6: Final answer
    x = 1,104,023.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.