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Finding the Third Proportional to 311,878.50 and 409,524

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Solution

The third proportional to 311,878.50 and 409,524 is: 537,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,878.50 : 409,524 = 409,524 : x
  2. Step 2: Convert to fraction form
    311,878.50/409,524 = 409,524/x
  3. Step 3: Cross multiply
    311,878.50x = 409,524 × 409,524
  4. Step 4: Simplify right side
    311,878.50x = 167,709,906,576
  5. Step 5: Solve for x
    x = 167,709,906,576/311,878.50
  6. Step 6: Final answer
    x = 537,741.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.