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Finding the Third Proportional to 405,223.88 and 881,799.75

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Solution

The third proportional to 405,223.88 and 881,799.75 is: 1,918,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,223.88 : 881,799.75 = 881,799.75 : x
  2. Step 2: Convert to fraction form
    405,223.88/881,799.75 = 881,799.75/x
  3. Step 3: Cross multiply
    405,223.88x = 881,799.75 × 881,799.75
  4. Step 4: Simplify right side
    405,223.88x = 777,570,799,100.06
  5. Step 5: Solve for x
    x = 777,570,799,100.06/405,223.88
  6. Step 6: Final answer
    x = 1,918,867.19

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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.