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Finding the Third Proportional to 347,203 and 760,880

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Solution

The third proportional to 347,203 and 760,880 is: 1,667,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,203 : 760,880 = 760,880 : x
  2. Step 2: Convert to fraction form
    347,203/760,880 = 760,880/x
  3. Step 3: Cross multiply
    347,203x = 760,880 × 760,880
  4. Step 4: Simplify right side
    347,203x = 578,938,374,400
  5. Step 5: Solve for x
    x = 578,938,374,400/347,203
  6. Step 6: Final answer
    x = 1,667,434.83

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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.