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Finding the Third Proportional to 593.72 and 921.59

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Solution

The third proportional to 593.72 and 921.59 is: 1,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.72 : 921.59 = 921.59 : x
  2. Step 2: Convert to fraction form
    593.72/921.59 = 921.59/x
  3. Step 3: Cross multiply
    593.72x = 921.59 × 921.59
  4. Step 4: Simplify right side
    593.72x = 849,320.64
  5. Step 5: Solve for x
    x = 849,320.64/593.72
  6. Step 6: Final answer
    x = 1,430.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.