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Finding the Third Proportional to 452,002 and 613,877

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Solution

The third proportional to 452,002 and 613,877 is: 833,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,002 : 613,877 = 613,877 : x
  2. Step 2: Convert to fraction form
    452,002/613,877 = 613,877/x
  3. Step 3: Cross multiply
    452,002x = 613,877 × 613,877
  4. Step 4: Simplify right side
    452,002x = 376,844,971,129
  5. Step 5: Solve for x
    x = 376,844,971,129/452,002
  6. Step 6: Final answer
    x = 833,724.12

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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.