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Finding the Third Proportional to 524,568 and 787,364

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Solution

The third proportional to 524,568 and 787,364 is: 1,181,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,568 : 787,364 = 787,364 : x
  2. Step 2: Convert to fraction form
    524,568/787,364 = 787,364/x
  3. Step 3: Cross multiply
    524,568x = 787,364 × 787,364
  4. Step 4: Simplify right side
    524,568x = 619,942,068,496
  5. Step 5: Solve for x
    x = 619,942,068,496/524,568
  6. Step 6: Final answer
    x = 1,181,814.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.