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Finding the Third Proportional to 299,324 and 464,727

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Solution

The third proportional to 299,324 and 464,727 is: 721,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,324 : 464,727 = 464,727 : x
  2. Step 2: Convert to fraction form
    299,324/464,727 = 464,727/x
  3. Step 3: Cross multiply
    299,324x = 464,727 × 464,727
  4. Step 4: Simplify right side
    299,324x = 215,971,184,529
  5. Step 5: Solve for x
    x = 215,971,184,529/299,324
  6. Step 6: Final answer
    x = 721,529.80

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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.