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Finding the Third Proportional to 332,146 and 726,636

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Solution

The third proportional to 332,146 and 726,636 is: 1,589,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,146 : 726,636 = 726,636 : x
  2. Step 2: Convert to fraction form
    332,146/726,636 = 726,636/x
  3. Step 3: Cross multiply
    332,146x = 726,636 × 726,636
  4. Step 4: Simplify right side
    332,146x = 527,999,876,496
  5. Step 5: Solve for x
    x = 527,999,876,496/332,146
  6. Step 6: Final answer
    x = 1,589,662.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.