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Finding the Third Proportional to 201,314 and 411,364

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Solution

The third proportional to 201,314 and 411,364 is: 840,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314 : 411,364 = 411,364 : x
  2. Step 2: Convert to fraction form
    201,314/411,364 = 411,364/x
  3. Step 3: Cross multiply
    201,314x = 411,364 × 411,364
  4. Step 4: Simplify right side
    201,314x = 169,220,340,496
  5. Step 5: Solve for x
    x = 169,220,340,496/201,314
  6. Step 6: Final answer
    x = 840,579.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.