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Finding the Third Proportional to 268,967.25 and 634,014

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Solution

The third proportional to 268,967.25 and 634,014 is: 1,494,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,967.25 : 634,014 = 634,014 : x
  2. Step 2: Convert to fraction form
    268,967.25/634,014 = 634,014/x
  3. Step 3: Cross multiply
    268,967.25x = 634,014 × 634,014
  4. Step 4: Simplify right side
    268,967.25x = 401,973,752,196
  5. Step 5: Solve for x
    x = 401,973,752,196/268,967.25
  6. Step 6: Final answer
    x = 1,494,508.17

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.