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Finding the Third Proportional to 201,964.50 and 437,587

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Solution

The third proportional to 201,964.50 and 437,587 is: 948,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,964.50 : 437,587 = 437,587 : x
  2. Step 2: Convert to fraction form
    201,964.50/437,587 = 437,587/x
  3. Step 3: Cross multiply
    201,964.50x = 437,587 × 437,587
  4. Step 4: Simplify right side
    201,964.50x = 191,482,382,569
  5. Step 5: Solve for x
    x = 191,482,382,569/201,964.50
  6. Step 6: Final answer
    x = 948,099.21

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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.