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Finding the Third Proportional to 407.50 and 890.94

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Solution

The third proportional to 407.50 and 890.94 is: 1,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.50 : 890.94 = 890.94 : x
  2. Step 2: Convert to fraction form
    407.50/890.94 = 890.94/x
  3. Step 3: Cross multiply
    407.50x = 890.94 × 890.94
  4. Step 4: Simplify right side
    407.50x = 793,769.63
  5. Step 5: Solve for x
    x = 793,769.63/407.50
  6. Step 6: Final answer
    x = 1,947.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.