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Finding the Third Proportional to 584,138.25 and 926,235.75

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Solution

The third proportional to 584,138.25 and 926,235.75 is: 1,468,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,138.25 : 926,235.75 = 926,235.75 : x
  2. Step 2: Convert to fraction form
    584,138.25/926,235.75 = 926,235.75/x
  3. Step 3: Cross multiply
    584,138.25x = 926,235.75 × 926,235.75
  4. Step 4: Simplify right side
    584,138.25x = 857,912,664,578.06
  5. Step 5: Solve for x
    x = 857,912,664,578.06/584,138.25
  6. Step 6: Final answer
    x = 1,468,680.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.