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Finding the Third Proportional to 423,084.75 and 881,161.50

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Solution

The third proportional to 423,084.75 and 881,161.50 is: 1,835,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,084.75 : 881,161.50 = 881,161.50 : x
  2. Step 2: Convert to fraction form
    423,084.75/881,161.50 = 881,161.50/x
  3. Step 3: Cross multiply
    423,084.75x = 881,161.50 × 881,161.50
  4. Step 4: Simplify right side
    423,084.75x = 776,445,589,082.25
  5. Step 5: Solve for x
    x = 776,445,589,082.25/423,084.75
  6. Step 6: Final answer
    x = 1,835,201.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.