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Finding the Third Proportional to 503.63 and 585.75

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Solution

The third proportional to 503.63 and 585.75 is: 681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.63 : 585.75 = 585.75 : x
  2. Step 2: Convert to fraction form
    503.63/585.75 = 585.75/x
  3. Step 3: Cross multiply
    503.63x = 585.75 × 585.75
  4. Step 4: Simplify right side
    503.63x = 343,103.06
  5. Step 5: Solve for x
    x = 343,103.06/503.63
  6. Step 6: Final answer
    x = 681.27

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.