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Finding the Third Proportional to 201,368 and 441,486

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Solution

The third proportional to 201,368 and 441,486 is: 967,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,368 : 441,486 = 441,486 : x
  2. Step 2: Convert to fraction form
    201,368/441,486 = 441,486/x
  3. Step 3: Cross multiply
    201,368x = 441,486 × 441,486
  4. Step 4: Simplify right side
    201,368x = 194,909,888,196
  5. Step 5: Solve for x
    x = 194,909,888,196/201,368
  6. Step 6: Final answer
    x = 967,928.81

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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.