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Finding the Third Proportional to 299,322 and 464,724

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Solution

The third proportional to 299,322 and 464,724 is: 721,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,322 : 464,724 = 464,724 : x
  2. Step 2: Convert to fraction form
    299,322/464,724 = 464,724/x
  3. Step 3: Cross multiply
    299,322x = 464,724 × 464,724
  4. Step 4: Simplify right side
    299,322x = 215,968,396,176
  5. Step 5: Solve for x
    x = 215,968,396,176/299,322
  6. Step 6: Final answer
    x = 721,525.30

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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.