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Finding the Third Proportional to 1,776.30 and 2,490.12

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Solution

The third proportional to 1,776.30 and 2,490.12 is: 3,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.30 : 2,490.12 = 2,490.12 : x
  2. Step 2: Convert to fraction form
    1,776.30/2,490.12 = 2,490.12/x
  3. Step 3: Cross multiply
    1,776.30x = 2,490.12 × 2,490.12
  4. Step 4: Simplify right side
    1,776.30x = 6,200,683.61
  5. Step 5: Solve for x
    x = 6,200,683.61/1,776.30
  6. Step 6: Final answer
    x = 3,490.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.