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Finding the Third Proportional to 201,523 and 439,888

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Solution

The third proportional to 201,523 and 439,888 is: 960,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,523 : 439,888 = 439,888 : x
  2. Step 2: Convert to fraction form
    201,523/439,888 = 439,888/x
  3. Step 3: Cross multiply
    201,523x = 439,888 × 439,888
  4. Step 4: Simplify right side
    201,523x = 193,501,452,544
  5. Step 5: Solve for x
    x = 193,501,452,544/201,523
  6. Step 6: Final answer
    x = 960,195.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.