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Finding the Third Proportional to 405,306 and 881,961.75

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Solution

The third proportional to 405,306 and 881,961.75 is: 1,919,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,306 : 881,961.75 = 881,961.75 : x
  2. Step 2: Convert to fraction form
    405,306/881,961.75 = 881,961.75/x
  3. Step 3: Cross multiply
    405,306x = 881,961.75 × 881,961.75
  4. Step 4: Simplify right side
    405,306x = 777,856,528,463.06
  5. Step 5: Solve for x
    x = 777,856,528,463.06/405,306
  6. Step 6: Final answer
    x = 1,919,183.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.