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Finding the Third Proportional to 269,082 and 570,964.50

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Solution

The third proportional to 269,082 and 570,964.50 is: 1,211,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,082 : 570,964.50 = 570,964.50 : x
  2. Step 2: Convert to fraction form
    269,082/570,964.50 = 570,964.50/x
  3. Step 3: Cross multiply
    269,082x = 570,964.50 × 570,964.50
  4. Step 4: Simplify right side
    269,082x = 326,000,460,260.25
  5. Step 5: Solve for x
    x = 326,000,460,260.25/269,082
  6. Step 6: Final answer
    x = 1,211,528.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.