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Finding the Third Proportional to 593.26 and 787.38

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Solution

The third proportional to 593.26 and 787.38 is: 1,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.26 : 787.38 = 787.38 : x
  2. Step 2: Convert to fraction form
    593.26/787.38 = 787.38/x
  3. Step 3: Cross multiply
    593.26x = 787.38 × 787.38
  4. Step 4: Simplify right side
    593.26x = 619,962.47
  5. Step 5: Solve for x
    x = 619,962.47/593.26
  6. Step 6: Final answer
    x = 1,045.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.