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Finding the Third Proportional to 310.71 and 653.34

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Solution

The third proportional to 310.71 and 653.34 is: 1,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.71 : 653.34 = 653.34 : x
  2. Step 2: Convert to fraction form
    310.71/653.34 = 653.34/x
  3. Step 3: Cross multiply
    310.71x = 653.34 × 653.34
  4. Step 4: Simplify right side
    310.71x = 426,858.06
  5. Step 5: Solve for x
    x = 426,858.06/310.71
  6. Step 6: Final answer
    x = 1,373.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.