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Finding the Third Proportional to 524,863.13 and 810,496.13

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Solution

The third proportional to 524,863.13 and 810,496.13 is: 1,251,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,863.13 : 810,496.13 = 810,496.13 : x
  2. Step 2: Convert to fraction form
    524,863.13/810,496.13 = 810,496.13/x
  3. Step 3: Cross multiply
    524,863.13x = 810,496.13 × 810,496.13
  4. Step 4: Simplify right side
    524,863.13x = 656,903,968,640.02
  5. Step 5: Solve for x
    x = 656,903,968,640.02/524,863.13
  6. Step 6: Final answer
    x = 1,251,571.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.