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Finding the Third Proportional to 347,225 and 760,930

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Solution

The third proportional to 347,225 and 760,930 is: 1,667,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,225 : 760,930 = 760,930 : x
  2. Step 2: Convert to fraction form
    347,225/760,930 = 760,930/x
  3. Step 3: Cross multiply
    347,225x = 760,930 × 760,930
  4. Step 4: Simplify right side
    347,225x = 579,014,464,900
  5. Step 5: Solve for x
    x = 579,014,464,900/347,225
  6. Step 6: Final answer
    x = 1,667,548.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.