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Finding the Third Proportional to 347,140.50 and 760,863

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Solution

The third proportional to 347,140.50 and 760,863 is: 1,667,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,140.50 : 760,863 = 760,863 : x
  2. Step 2: Convert to fraction form
    347,140.50/760,863 = 760,863/x
  3. Step 3: Cross multiply
    347,140.50x = 760,863 × 760,863
  4. Step 4: Simplify right side
    347,140.50x = 578,912,504,769
  5. Step 5: Solve for x
    x = 578,912,504,769/347,140.50
  6. Step 6: Final answer
    x = 1,667,660.51

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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.