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Finding the Third Proportional to 551,048 and 851,126.25

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Solution

The third proportional to 551,048 and 851,126.25 is: 1,314,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,048 : 851,126.25 = 851,126.25 : x
  2. Step 2: Convert to fraction form
    551,048/851,126.25 = 851,126.25/x
  3. Step 3: Cross multiply
    551,048x = 851,126.25 × 851,126.25
  4. Step 4: Simplify right side
    551,048x = 724,415,893,439.06
  5. Step 5: Solve for x
    x = 724,415,893,439.06/551,048
  6. Step 6: Final answer
    x = 1,314,614.87

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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.