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Finding the Third Proportional to 551,016 and 851,088

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Solution

The third proportional to 551,016 and 851,088 is: 1,314,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,016 : 851,088 = 851,088 : x
  2. Step 2: Convert to fraction form
    551,016/851,088 = 851,088/x
  3. Step 3: Cross multiply
    551,016x = 851,088 × 851,088
  4. Step 4: Simplify right side
    551,016x = 724,350,783,744
  5. Step 5: Solve for x
    x = 724,350,783,744/551,016
  6. Step 6: Final answer
    x = 1,314,573.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.