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Finding the Third Proportional to 354,718.50 and 726,012

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Solution

The third proportional to 354,718.50 and 726,012 is: 1,485,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,718.50 : 726,012 = 726,012 : x
  2. Step 2: Convert to fraction form
    354,718.50/726,012 = 726,012/x
  3. Step 3: Cross multiply
    354,718.50x = 726,012 × 726,012
  4. Step 4: Simplify right side
    354,718.50x = 527,093,424,144
  5. Step 5: Solve for x
    x = 527,093,424,144/354,718.50
  6. Step 6: Final answer
    x = 1,485,948.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.