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Finding the Third Proportional to 405,207 and 873,258.75

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Solution

The third proportional to 405,207 and 873,258.75 is: 1,881,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,207 : 873,258.75 = 873,258.75 : x
  2. Step 2: Convert to fraction form
    405,207/873,258.75 = 873,258.75/x
  3. Step 3: Cross multiply
    405,207x = 873,258.75 × 873,258.75
  4. Step 4: Simplify right side
    405,207x = 762,580,844,451.56
  5. Step 5: Solve for x
    x = 762,580,844,451.56/405,207
  6. Step 6: Final answer
    x = 1,881,953.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.