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Finding the Third Proportional to 270,218 and 403,815

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Solution

The third proportional to 270,218 and 403,815 is: 603,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,218 : 403,815 = 403,815 : x
  2. Step 2: Convert to fraction form
    270,218/403,815 = 403,815/x
  3. Step 3: Cross multiply
    270,218x = 403,815 × 403,815
  4. Step 4: Simplify right side
    270,218x = 163,066,554,225
  5. Step 5: Solve for x
    x = 163,066,554,225/270,218
  6. Step 6: Final answer
    x = 603,462.96

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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.