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Finding the Third Proportional to 581,212 and 888,722

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Solution

The third proportional to 581,212 and 888,722 is: 1,358,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,212 : 888,722 = 888,722 : x
  2. Step 2: Convert to fraction form
    581,212/888,722 = 888,722/x
  3. Step 3: Cross multiply
    581,212x = 888,722 × 888,722
  4. Step 4: Simplify right side
    581,212x = 789,826,793,284
  5. Step 5: Solve for x
    x = 789,826,793,284/581,212
  6. Step 6: Final answer
    x = 1,358,930.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.