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Finding the Third Proportional to 333,660 and 726,072

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Solution

The third proportional to 333,660 and 726,072 is: 1,579,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,660 : 726,072 = 726,072 : x
  2. Step 2: Convert to fraction form
    333,660/726,072 = 726,072/x
  3. Step 3: Cross multiply
    333,660x = 726,072 × 726,072
  4. Step 4: Simplify right side
    333,660x = 527,180,549,184
  5. Step 5: Solve for x
    x = 527,180,549,184/333,660
  6. Step 6: Final answer
    x = 1,579,993.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.