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Finding the Third Proportional to 430.00 and 593.74

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Solution

The third proportional to 430.00 and 593.74 is: 819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.00 : 593.74 = 593.74 : x
  2. Step 2: Convert to fraction form
    430.00/593.74 = 593.74/x
  3. Step 3: Cross multiply
    430.00x = 593.74 × 593.74
  4. Step 4: Simplify right side
    430.00x = 352,522.83
  5. Step 5: Solve for x
    x = 352,522.83/430.00
  6. Step 6: Final answer
    x = 819.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.