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Finding the Third Proportional to 311,973.75 and 473,792.63

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Solution

The third proportional to 311,973.75 and 473,792.63 is: 719,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,973.75 : 473,792.63 = 473,792.63 : x
  2. Step 2: Convert to fraction form
    311,973.75/473,792.63 = 473,792.63/x
  3. Step 3: Cross multiply
    311,973.75x = 473,792.63 × 473,792.63
  4. Step 4: Simplify right side
    311,973.75x = 224,479,451,504.39
  5. Step 5: Solve for x
    x = 224,479,451,504.39/311,973.75
  6. Step 6: Final answer
    x = 719,545.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.