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Finding the Third Proportional to 776.46 and 1,649.03

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Solution

The third proportional to 776.46 and 1,649.03 is: 3,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.46 : 1,649.03 = 1,649.03 : x
  2. Step 2: Convert to fraction form
    776.46/1,649.03 = 1,649.03/x
  3. Step 3: Cross multiply
    776.46x = 1,649.03 × 1,649.03
  4. Step 4: Simplify right side
    776.46x = 2,719,300.84
  5. Step 5: Solve for x
    x = 2,719,300.84/776.46
  6. Step 6: Final answer
    x = 3,502.17

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Why These Related Problems?

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