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Finding the Third Proportional to 318,936 and 433,332

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Solution

The third proportional to 318,936 and 433,332 is: 588,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,936 : 433,332 = 433,332 : x
  2. Step 2: Convert to fraction form
    318,936/433,332 = 433,332/x
  3. Step 3: Cross multiply
    318,936x = 433,332 × 433,332
  4. Step 4: Simplify right side
    318,936x = 187,776,622,224
  5. Step 5: Solve for x
    x = 187,776,622,224/318,936
  6. Step 6: Final answer
    x = 588,759.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.