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Finding the Third Proportional to 344.06 and 710.06

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Solution

The third proportional to 344.06 and 710.06 is: 1,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.06 : 710.06 = 710.06 : x
  2. Step 2: Convert to fraction form
    344.06/710.06 = 710.06/x
  3. Step 3: Cross multiply
    344.06x = 710.06 × 710.06
  4. Step 4: Simplify right side
    344.06x = 504,188.75
  5. Step 5: Solve for x
    x = 504,188.75/344.06
  6. Step 6: Final answer
    x = 1,465.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.