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Finding the Third Proportional to 535,314 and 726,663

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Solution

The third proportional to 535,314 and 726,663 is: 986,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,314 : 726,663 = 726,663 : x
  2. Step 2: Convert to fraction form
    535,314/726,663 = 726,663/x
  3. Step 3: Cross multiply
    535,314x = 726,663 × 726,663
  4. Step 4: Simplify right side
    535,314x = 528,039,115,569
  5. Step 5: Solve for x
    x = 528,039,115,569/535,314
  6. Step 6: Final answer
    x = 986,410.06

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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.