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Finding the Third Proportional to 356,203.13 and 726,940.13

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Solution

The third proportional to 356,203.13 and 726,940.13 is: 1,483,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,203.13 : 726,940.13 = 726,940.13 : x
  2. Step 2: Convert to fraction form
    356,203.13/726,940.13 = 726,940.13/x
  3. Step 3: Cross multiply
    356,203.13x = 726,940.13 × 726,940.13
  4. Step 4: Simplify right side
    356,203.13x = 528,441,945,335.02
  5. Step 5: Solve for x
    x = 528,441,945,335.02/356,203.13
  6. Step 6: Final answer
    x = 1,483,541.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.