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Finding the Third Proportional to 705,138.75 and 1,074,228.75

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Solution

The third proportional to 705,138.75 and 1,074,228.75 is: 1,636,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,138.75 : 1,074,228.75 = 1,074,228.75 : x
  2. Step 2: Convert to fraction form
    705,138.75/1,074,228.75 = 1,074,228.75/x
  3. Step 3: Cross multiply
    705,138.75x = 1,074,228.75 × 1,074,228.75
  4. Step 4: Simplify right side
    705,138.75x = 1,153,967,407,326.56
  5. Step 5: Solve for x
    x = 1,153,967,407,326.56/705,138.75
  6. Step 6: Final answer
    x = 1,636,511.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.