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Finding the Third Proportional to 427.50 and 901.97

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Solution

The third proportional to 427.50 and 901.97 is: 1,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 901.97 = 901.97 : x
  2. Step 2: Convert to fraction form
    427.50/901.97 = 901.97/x
  3. Step 3: Cross multiply
    427.50x = 901.97 × 901.97
  4. Step 4: Simplify right side
    427.50x = 813,547.63
  5. Step 5: Solve for x
    x = 813,547.63/427.50
  6. Step 6: Final answer
    x = 1,903.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.