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Finding the Third Proportional to 189,492 and 409,388

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Solution

The third proportional to 189,492 and 409,388 is: 884,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,492 : 409,388 = 409,388 : x
  2. Step 2: Convert to fraction form
    189,492/409,388 = 409,388/x
  3. Step 3: Cross multiply
    189,492x = 409,388 × 409,388
  4. Step 4: Simplify right side
    189,492x = 167,598,534,544
  5. Step 5: Solve for x
    x = 167,598,534,544/189,492
  6. Step 6: Final answer
    x = 884,462.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.