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Finding the Third Proportional to 305,912.25 and 464,811.75

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Solution

The third proportional to 305,912.25 and 464,811.75 is: 706,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,912.25 : 464,811.75 = 464,811.75 : x
  2. Step 2: Convert to fraction form
    305,912.25/464,811.75 = 464,811.75/x
  3. Step 3: Cross multiply
    305,912.25x = 464,811.75 × 464,811.75
  4. Step 4: Simplify right side
    305,912.25x = 216,049,962,938.06
  5. Step 5: Solve for x
    x = 216,049,962,938.06/305,912.25
  6. Step 6: Final answer
    x = 706,248.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.