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Finding the Third Proportional to 474,233 and 723,168

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Solution

The third proportional to 474,233 and 723,168 is: 1,102,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,233 : 723,168 = 723,168 : x
  2. Step 2: Convert to fraction form
    474,233/723,168 = 723,168/x
  3. Step 3: Cross multiply
    474,233x = 723,168 × 723,168
  4. Step 4: Simplify right side
    474,233x = 522,971,956,224
  5. Step 5: Solve for x
    x = 522,971,956,224/474,233
  6. Step 6: Final answer
    x = 1,102,774.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.