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Finding the Third Proportional to 356,238 and 726,982

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Solution

The third proportional to 356,238 and 726,982 is: 1,483,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,238 : 726,982 = 726,982 : x
  2. Step 2: Convert to fraction form
    356,238/726,982 = 726,982/x
  3. Step 3: Cross multiply
    356,238x = 726,982 × 726,982
  4. Step 4: Simplify right side
    356,238x = 528,502,828,324
  5. Step 5: Solve for x
    x = 528,502,828,324/356,238
  6. Step 6: Final answer
    x = 1,483,566.68

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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.