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Finding the Third Proportional to 405,363 and 888,558

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Solution

The third proportional to 405,363 and 888,558 is: 1,947,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,363 : 888,558 = 888,558 : x
  2. Step 2: Convert to fraction form
    405,363/888,558 = 888,558/x
  3. Step 3: Cross multiply
    405,363x = 888,558 × 888,558
  4. Step 4: Simplify right side
    405,363x = 789,535,319,364
  5. Step 5: Solve for x
    x = 789,535,319,364/405,363
  6. Step 6: Final answer
    x = 1,947,724.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.