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Finding the Third Proportional to 412.59 and 901.13

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Solution

The third proportional to 412.59 and 901.13 is: 1,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 901.13 = 901.13 : x
  2. Step 2: Convert to fraction form
    412.59/901.13 = 901.13/x
  3. Step 3: Cross multiply
    412.59x = 901.13 × 901.13
  4. Step 4: Simplify right side
    412.59x = 812,026.27
  5. Step 5: Solve for x
    x = 812,026.27/412.59
  6. Step 6: Final answer
    x = 1,968.10

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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.