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Finding the Third Proportional to 780.75 and 1,649.81

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Solution

The third proportional to 780.75 and 1,649.81 is: 3,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.75 : 1,649.81 = 1,649.81 : x
  2. Step 2: Convert to fraction form
    780.75/1,649.81 = 1,649.81/x
  3. Step 3: Cross multiply
    780.75x = 1,649.81 × 1,649.81
  4. Step 4: Simplify right side
    780.75x = 2,721,881.29
  5. Step 5: Solve for x
    x = 2,721,881.29/780.75
  6. Step 6: Final answer
    x = 3,486.24

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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.