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Finding the Third Proportional to 437.63 and 590.63

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Solution

The third proportional to 437.63 and 590.63 is: 797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.63 : 590.63 = 590.63 : x
  2. Step 2: Convert to fraction form
    437.63/590.63 = 590.63/x
  3. Step 3: Cross multiply
    437.63x = 590.63 × 590.63
  4. Step 4: Simplify right side
    437.63x = 348,837.89
  5. Step 5: Solve for x
    x = 348,837.89/437.63
  6. Step 6: Final answer
    x = 797.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.