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Finding the Third Proportional to 201,473 and 441,696

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Solution

The third proportional to 201,473 and 441,696 is: 968,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,473 : 441,696 = 441,696 : x
  2. Step 2: Convert to fraction form
    201,473/441,696 = 441,696/x
  3. Step 3: Cross multiply
    201,473x = 441,696 × 441,696
  4. Step 4: Simplify right side
    201,473x = 195,095,356,416
  5. Step 5: Solve for x
    x = 195,095,356,416/201,473
  6. Step 6: Final answer
    x = 968,344.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.