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Finding the Third Proportional to 430.75 and 565.88

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Solution

The third proportional to 430.75 and 565.88 is: 743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.75 : 565.88 = 565.88 : x
  2. Step 2: Convert to fraction form
    430.75/565.88 = 565.88/x
  3. Step 3: Cross multiply
    430.75x = 565.88 × 565.88
  4. Step 4: Simplify right side
    430.75x = 320,214.52
  5. Step 5: Solve for x
    x = 320,214.52/430.75
  6. Step 6: Final answer
    x = 743.39

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.