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Finding the Third Proportional to 279,769.50 and 598,803.75

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Solution

The third proportional to 279,769.50 and 598,803.75 is: 1,281,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,769.50 : 598,803.75 = 598,803.75 : x
  2. Step 2: Convert to fraction form
    279,769.50/598,803.75 = 598,803.75/x
  3. Step 3: Cross multiply
    279,769.50x = 598,803.75 × 598,803.75
  4. Step 4: Simplify right side
    279,769.50x = 358,565,931,014.06
  5. Step 5: Solve for x
    x = 358,565,931,014.06/279,769.50
  6. Step 6: Final answer
    x = 1,281,647.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.