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Finding the Third Proportional to 268,707 and 406,084.50

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Solution

The third proportional to 268,707 and 406,084.50 is: 613,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,707 : 406,084.50 = 406,084.50 : x
  2. Step 2: Convert to fraction form
    268,707/406,084.50 = 406,084.50/x
  3. Step 3: Cross multiply
    268,707x = 406,084.50 × 406,084.50
  4. Step 4: Simplify right side
    268,707x = 164,904,621,140.25
  5. Step 5: Solve for x
    x = 164,904,621,140.25/268,707
  6. Step 6: Final answer
    x = 613,696.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.