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Finding the Third Proportional to 311,851.69 and 482,681.53

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Solution

The third proportional to 311,851.69 and 482,681.53 is: 747,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,851.69 : 482,681.53 = 482,681.53 : x
  2. Step 2: Convert to fraction form
    311,851.69/482,681.53 = 482,681.53/x
  3. Step 3: Cross multiply
    311,851.69x = 482,681.53 × 482,681.53
  4. Step 4: Simplify right side
    311,851.69x = 232,981,460,609.85
  5. Step 5: Solve for x
    x = 232,981,460,609.85/311,851.69
  6. Step 6: Final answer
    x = 747,090.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.