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Finding the Third Proportional to 347,168 and 715,104

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Solution

The third proportional to 347,168 and 715,104 is: 1,472,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,168 : 715,104 = 715,104 : x
  2. Step 2: Convert to fraction form
    347,168/715,104 = 715,104/x
  3. Step 3: Cross multiply
    347,168x = 715,104 × 715,104
  4. Step 4: Simplify right side
    347,168x = 511,373,730,816
  5. Step 5: Solve for x
    x = 511,373,730,816/347,168
  6. Step 6: Final answer
    x = 1,472,986.37

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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.