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Finding the Third Proportional to 225,082 and 531,326

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Solution

The third proportional to 225,082 and 531,326 is: 1,254,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,082 : 531,326 = 531,326 : x
  2. Step 2: Convert to fraction form
    225,082/531,326 = 531,326/x
  3. Step 3: Cross multiply
    225,082x = 531,326 × 531,326
  4. Step 4: Simplify right side
    225,082x = 282,307,318,276
  5. Step 5: Solve for x
    x = 282,307,318,276/225,082
  6. Step 6: Final answer
    x = 1,254,242.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.