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Finding the Third Proportional to 299,322.50 and 464,723.50

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Solution

The third proportional to 299,322.50 and 464,723.50 is: 721,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,322.50 : 464,723.50 = 464,723.50 : x
  2. Step 2: Convert to fraction form
    299,322.50/464,723.50 = 464,723.50/x
  3. Step 3: Cross multiply
    299,322.50x = 464,723.50 × 464,723.50
  4. Step 4: Simplify right side
    299,322.50x = 215,967,931,452.25
  5. Step 5: Solve for x
    x = 215,967,931,452.25/299,322.50
  6. Step 6: Final answer
    x = 721,522.54

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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.