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Finding the Third Proportional to 412.13 and 901.50

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Solution

The third proportional to 412.13 and 901.50 is: 1,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 901.50 = 901.50 : x
  2. Step 2: Convert to fraction form
    412.13/901.50 = 901.50/x
  3. Step 3: Cross multiply
    412.13x = 901.50 × 901.50
  4. Step 4: Simplify right side
    412.13x = 812,702.25
  5. Step 5: Solve for x
    x = 812,702.25/412.13
  6. Step 6: Final answer
    x = 1,971.98

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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.