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Finding the Third Proportional to 189,483 and 409,326

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Solution

The third proportional to 189,483 and 409,326 is: 884,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,483 : 409,326 = 409,326 : x
  2. Step 2: Convert to fraction form
    189,483/409,326 = 409,326/x
  3. Step 3: Cross multiply
    189,483x = 409,326 × 409,326
  4. Step 4: Simplify right side
    189,483x = 167,547,774,276
  5. Step 5: Solve for x
    x = 167,547,774,276/189,483
  6. Step 6: Final answer
    x = 884,236.44

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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.