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Finding the Third Proportional to 340,204.50 and 725,121

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Solution

The third proportional to 340,204.50 and 725,121 is: 1,545,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,204.50 : 725,121 = 725,121 : x
  2. Step 2: Convert to fraction form
    340,204.50/725,121 = 725,121/x
  3. Step 3: Cross multiply
    340,204.50x = 725,121 × 725,121
  4. Step 4: Simplify right side
    340,204.50x = 525,800,464,641
  5. Step 5: Solve for x
    x = 525,800,464,641/340,204.50
  6. Step 6: Final answer
    x = 1,545,542.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.