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Finding the Third Proportional to 581,208 and 888,716

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Solution

The third proportional to 581,208 and 888,716 is: 1,358,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,208 : 888,716 = 888,716 : x
  2. Step 2: Convert to fraction form
    581,208/888,716 = 888,716/x
  3. Step 3: Cross multiply
    581,208x = 888,716 × 888,716
  4. Step 4: Simplify right side
    581,208x = 789,816,128,656
  5. Step 5: Solve for x
    x = 789,816,128,656/581,208
  6. Step 6: Final answer
    x = 1,358,921.64

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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.