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Finding the Third Proportional to 1,305.29 and 2,870.08

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Solution

The third proportional to 1,305.29 and 2,870.08 is: 6,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.29 : 2,870.08 = 2,870.08 : x
  2. Step 2: Convert to fraction form
    1,305.29/2,870.08 = 2,870.08/x
  3. Step 3: Cross multiply
    1,305.29x = 2,870.08 × 2,870.08
  4. Step 4: Simplify right side
    1,305.29x = 8,237,368.06
  5. Step 5: Solve for x
    x = 8,237,368.06/1,305.29
  6. Step 6: Final answer
    x = 6,310.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.