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Finding the Third Proportional to 593.63 and 932.25

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Solution

The third proportional to 593.63 and 932.25 is: 1,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.63 : 932.25 = 932.25 : x
  2. Step 2: Convert to fraction form
    593.63/932.25 = 932.25/x
  3. Step 3: Cross multiply
    593.63x = 932.25 × 932.25
  4. Step 4: Simplify right side
    593.63x = 869,090.06
  5. Step 5: Solve for x
    x = 869,090.06/593.63
  6. Step 6: Final answer
    x = 1,464.04

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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.