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Finding the Third Proportional to 593.06 and 931.69

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Solution

The third proportional to 593.06 and 931.69 is: 1,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.06 : 931.69 = 931.69 : x
  2. Step 2: Convert to fraction form
    593.06/931.69 = 931.69/x
  3. Step 3: Cross multiply
    593.06x = 931.69 × 931.69
  4. Step 4: Simplify right side
    593.06x = 868,041.60
  5. Step 5: Solve for x
    x = 868,041.60/593.06
  6. Step 6: Final answer
    x = 1,463.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.