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Finding the Third Proportional to 201,363 and 433,583

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Solution

The third proportional to 201,363 and 433,583 is: 933,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,363 : 433,583 = 433,583 : x
  2. Step 2: Convert to fraction form
    201,363/433,583 = 433,583/x
  3. Step 3: Cross multiply
    201,363x = 433,583 × 433,583
  4. Step 4: Simplify right side
    201,363x = 187,994,217,889
  5. Step 5: Solve for x
    x = 187,994,217,889/201,363
  6. Step 6: Final answer
    x = 933,608.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.