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Finding the Third Proportional to 551,006.25 and 851,074.88

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Solution

The third proportional to 551,006.25 and 851,074.88 is: 1,314,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,006.25 : 851,074.88 = 851,074.88 : x
  2. Step 2: Convert to fraction form
    551,006.25/851,074.88 = 851,074.88/x
  3. Step 3: Cross multiply
    551,006.25x = 851,074.88 × 851,074.88
  4. Step 4: Simplify right side
    551,006.25x = 724,328,442,856.27
  5. Step 5: Solve for x
    x = 724,328,442,856.27/551,006.25
  6. Step 6: Final answer
    x = 1,314,555.77

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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.