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Finding the Third Proportional to 201,316 and 433,544

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Solution

The third proportional to 201,316 and 433,544 is: 933,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,316 : 433,544 = 433,544 : x
  2. Step 2: Convert to fraction form
    201,316/433,544 = 433,544/x
  3. Step 3: Cross multiply
    201,316x = 433,544 × 433,544
  4. Step 4: Simplify right side
    201,316x = 187,960,399,936
  5. Step 5: Solve for x
    x = 187,960,399,936/201,316
  6. Step 6: Final answer
    x = 933,658.53

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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.