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Finding the Third Proportional to 310.13 and 457.13

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Solution

The third proportional to 310.13 and 457.13 is: 673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.13 : 457.13 = 457.13 : x
  2. Step 2: Convert to fraction form
    310.13/457.13 = 457.13/x
  3. Step 3: Cross multiply
    310.13x = 457.13 × 457.13
  4. Step 4: Simplify right side
    310.13x = 208,963.27
  5. Step 5: Solve for x
    x = 208,963.27/310.13
  6. Step 6: Final answer
    x = 673.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.