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Finding the Third Proportional to 341,708.25 and 543,079.13

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Solution

The third proportional to 341,708.25 and 543,079.13 is: 863,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,708.25 : 543,079.13 = 543,079.13 : x
  2. Step 2: Convert to fraction form
    341,708.25/543,079.13 = 543,079.13/x
  3. Step 3: Cross multiply
    341,708.25x = 543,079.13 × 543,079.13
  4. Step 4: Simplify right side
    341,708.25x = 294,934,936,010.77
  5. Step 5: Solve for x
    x = 294,934,936,010.77/341,708.25
  6. Step 6: Final answer
    x = 863,119.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.