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Finding the Third Proportional to 1,410.19 and 2,980.69

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Solution

The third proportional to 1,410.19 and 2,980.69 is: 6,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.19 : 2,980.69 = 2,980.69 : x
  2. Step 2: Convert to fraction form
    1,410.19/2,980.69 = 2,980.69/x
  3. Step 3: Cross multiply
    1,410.19x = 2,980.69 × 2,980.69
  4. Step 4: Simplify right side
    1,410.19x = 8,884,497.97
  5. Step 5: Solve for x
    x = 8,884,497.97/1,410.19
  6. Step 6: Final answer
    x = 6,300.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.