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Finding the Third Proportional to 282,349.50 and 414,108

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Solution

The third proportional to 282,349.50 and 414,108 is: 607,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,349.50 : 414,108 = 414,108 : x
  2. Step 2: Convert to fraction form
    282,349.50/414,108 = 414,108/x
  3. Step 3: Cross multiply
    282,349.50x = 414,108 × 414,108
  4. Step 4: Simplify right side
    282,349.50x = 171,485,435,664
  5. Step 5: Solve for x
    x = 171,485,435,664/282,349.50
  6. Step 6: Final answer
    x = 607,351.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.