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Finding the Third Proportional to 356,206 and 726,943

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Solution

The third proportional to 356,206 and 726,943 is: 1,483,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,206 : 726,943 = 726,943 : x
  2. Step 2: Convert to fraction form
    356,206/726,943 = 726,943/x
  3. Step 3: Cross multiply
    356,206x = 726,943 × 726,943
  4. Step 4: Simplify right side
    356,206x = 528,446,125,249
  5. Step 5: Solve for x
    x = 528,446,125,249/356,206
  6. Step 6: Final answer
    x = 1,483,540.77

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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.