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Finding the Third Proportional to 544.63 and 829.81

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Solution

The third proportional to 544.63 and 829.81 is: 1,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.63 : 829.81 = 829.81 : x
  2. Step 2: Convert to fraction form
    544.63/829.81 = 829.81/x
  3. Step 3: Cross multiply
    544.63x = 829.81 × 829.81
  4. Step 4: Simplify right side
    544.63x = 688,588.79
  5. Step 5: Solve for x
    x = 688,588.79/544.63
  6. Step 6: Final answer
    x = 1,264.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.