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Finding the Third Proportional to 272,313.75 and 406,830

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Solution

The third proportional to 272,313.75 and 406,830 is: 607,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,313.75 : 406,830 = 406,830 : x
  2. Step 2: Convert to fraction form
    272,313.75/406,830 = 406,830/x
  3. Step 3: Cross multiply
    272,313.75x = 406,830 × 406,830
  4. Step 4: Simplify right side
    272,313.75x = 165,510,648,900
  5. Step 5: Solve for x
    x = 165,510,648,900/272,313.75
  6. Step 6: Final answer
    x = 607,793.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.