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Finding the Third Proportional to 200,947 and 433,441

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Solution

The third proportional to 200,947 and 433,441 is: 934,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,947 : 433,441 = 433,441 : x
  2. Step 2: Convert to fraction form
    200,947/433,441 = 433,441/x
  3. Step 3: Cross multiply
    200,947x = 433,441 × 433,441
  4. Step 4: Simplify right side
    200,947x = 187,871,100,481
  5. Step 5: Solve for x
    x = 187,871,100,481/200,947
  6. Step 6: Final answer
    x = 934,928.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.