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Finding the Third Proportional to 201,947 and 437,326

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Solution

The third proportional to 201,947 and 437,326 is: 947,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,947 : 437,326 = 437,326 : x
  2. Step 2: Convert to fraction form
    201,947/437,326 = 437,326/x
  3. Step 3: Cross multiply
    201,947x = 437,326 × 437,326
  4. Step 4: Simplify right side
    201,947x = 191,254,030,276
  5. Step 5: Solve for x
    x = 191,254,030,276/201,947
  6. Step 6: Final answer
    x = 947,050.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.