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Finding the Third Proportional to 299,364.75 and 464,812.88

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Solution

The third proportional to 299,364.75 and 464,812.88 is: 721,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,364.75 : 464,812.88 = 464,812.88 : x
  2. Step 2: Convert to fraction form
    299,364.75/464,812.88 = 464,812.88/x
  3. Step 3: Cross multiply
    299,364.75x = 464,812.88 × 464,812.88
  4. Step 4: Simplify right side
    299,364.75x = 216,051,008,765.77
  5. Step 5: Solve for x
    x = 216,051,008,765.77/299,364.75
  6. Step 6: Final answer
    x = 721,698.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.