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Finding the Third Proportional to 311,121 and 453,073.50

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Solution

The third proportional to 311,121 and 453,073.50 is: 659,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,121 : 453,073.50 = 453,073.50 : x
  2. Step 2: Convert to fraction form
    311,121/453,073.50 = 453,073.50/x
  3. Step 3: Cross multiply
    311,121x = 453,073.50 × 453,073.50
  4. Step 4: Simplify right side
    311,121x = 205,275,596,402.25
  5. Step 5: Solve for x
    x = 205,275,596,402.25/311,121
  6. Step 6: Final answer
    x = 659,793.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.