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Finding the Third Proportional to 511.78 and 787.03

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Solution

The third proportional to 511.78 and 787.03 is: 1,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.78 : 787.03 = 787.03 : x
  2. Step 2: Convert to fraction form
    511.78/787.03 = 787.03/x
  3. Step 3: Cross multiply
    511.78x = 787.03 × 787.03
  4. Step 4: Simplify right side
    511.78x = 619,418.19
  5. Step 5: Solve for x
    x = 619,418.19/511.78
  6. Step 6: Final answer
    x = 1,210.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.