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Finding the Third Proportional to 268,971 and 634,021.50

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Solution

The third proportional to 268,971 and 634,021.50 is: 1,494,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,971 : 634,021.50 = 634,021.50 : x
  2. Step 2: Convert to fraction form
    268,971/634,021.50 = 634,021.50/x
  3. Step 3: Cross multiply
    268,971x = 634,021.50 × 634,021.50
  4. Step 4: Simplify right side
    268,971x = 401,983,262,462.25
  5. Step 5: Solve for x
    x = 401,983,262,462.25/268,971
  6. Step 6: Final answer
    x = 1,494,522.69

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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.