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Finding the Third Proportional to 340,111.13 and 491,655.94

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Solution

The third proportional to 340,111.13 and 491,655.94 is: 710,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,111.13 : 491,655.94 = 491,655.94 : x
  2. Step 2: Convert to fraction form
    340,111.13/491,655.94 = 491,655.94/x
  3. Step 3: Cross multiply
    340,111.13x = 491,655.94 × 491,655.94
  4. Step 4: Simplify right side
    340,111.13x = 241,725,560,879.00
  5. Step 5: Solve for x
    x = 241,725,560,879.00/340,111.13
  6. Step 6: Final answer
    x = 710,725.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.