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Finding the Third Proportional to 299,427.75 and 462,521.25

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Solution

The third proportional to 299,427.75 and 462,521.25 is: 714,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,427.75 : 462,521.25 = 462,521.25 : x
  2. Step 2: Convert to fraction form
    299,427.75/462,521.25 = 462,521.25/x
  3. Step 3: Cross multiply
    299,427.75x = 462,521.25 × 462,521.25
  4. Step 4: Simplify right side
    299,427.75x = 213,925,906,701.56
  5. Step 5: Solve for x
    x = 213,925,906,701.56/299,427.75
  6. Step 6: Final answer
    x = 714,449.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.