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Finding the Third Proportional to 452,006 and 613,883

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Solution

The third proportional to 452,006 and 613,883 is: 833,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,006 : 613,883 = 613,883 : x
  2. Step 2: Convert to fraction form
    452,006/613,883 = 613,883/x
  3. Step 3: Cross multiply
    452,006x = 613,883 × 613,883
  4. Step 4: Simplify right side
    452,006x = 376,852,337,689
  5. Step 5: Solve for x
    x = 376,852,337,689/452,006
  6. Step 6: Final answer
    x = 833,733.04

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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.