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Finding the Third Proportional to 268,365.38 and 578,769.75

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Solution

The third proportional to 268,365.38 and 578,769.75 is: 1,248,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,365.38 : 578,769.75 = 578,769.75 : x
  2. Step 2: Convert to fraction form
    268,365.38/578,769.75 = 578,769.75/x
  3. Step 3: Cross multiply
    268,365.38x = 578,769.75 × 578,769.75
  4. Step 4: Simplify right side
    268,365.38x = 334,974,423,515.06
  5. Step 5: Solve for x
    x = 334,974,423,515.06/268,365.38
  6. Step 6: Final answer
    x = 1,248,202.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.