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Finding the Third Proportional to 424.13 and 465.19

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Solution

The third proportional to 424.13 and 465.19 is: 510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.13 : 465.19 = 465.19 : x
  2. Step 2: Convert to fraction form
    424.13/465.19 = 465.19/x
  3. Step 3: Cross multiply
    424.13x = 465.19 × 465.19
  4. Step 4: Simplify right side
    424.13x = 216,399.41
  5. Step 5: Solve for x
    x = 216,399.41/424.13
  6. Step 6: Final answer
    x = 510.23

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.