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Finding the Third Proportional to 535,285.13 and 726,629.06

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Solution

The third proportional to 535,285.13 and 726,629.06 is: 986,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,285.13 : 726,629.06 = 726,629.06 : x
  2. Step 2: Convert to fraction form
    535,285.13/726,629.06 = 726,629.06/x
  3. Step 3: Cross multiply
    535,285.13x = 726,629.06 × 726,629.06
  4. Step 4: Simplify right side
    535,285.13x = 527,989,794,469.63
  5. Step 5: Solve for x
    x = 527,989,794,469.63/535,285.13
  6. Step 6: Final answer
    x = 986,371.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.