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Finding the Third Proportional to 590.63 and 887.63

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Solution

The third proportional to 590.63 and 887.63 is: 1,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.63 : 887.63 = 887.63 : x
  2. Step 2: Convert to fraction form
    590.63/887.63 = 887.63/x
  3. Step 3: Cross multiply
    590.63x = 887.63 × 887.63
  4. Step 4: Simplify right side
    590.63x = 787,878.14
  5. Step 5: Solve for x
    x = 787,878.14/590.63
  6. Step 6: Final answer
    x = 1,333.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.