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Finding the Third Proportional to 435.87 and 948.63

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Solution

The third proportional to 435.87 and 948.63 is: 2,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.87 : 948.63 = 948.63 : x
  2. Step 2: Convert to fraction form
    435.87/948.63 = 948.63/x
  3. Step 3: Cross multiply
    435.87x = 948.63 × 948.63
  4. Step 4: Simplify right side
    435.87x = 899,890.32
  5. Step 5: Solve for x
    x = 899,890.32/435.87
  6. Step 6: Final answer
    x = 2,064.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.