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Finding the Third Proportional to 452,008 and 613,886

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Solution

The third proportional to 452,008 and 613,886 is: 833,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,008 : 613,886 = 613,886 : x
  2. Step 2: Convert to fraction form
    452,008/613,886 = 613,886/x
  3. Step 3: Cross multiply
    452,008x = 613,886 × 613,886
  4. Step 4: Simplify right side
    452,008x = 376,856,020,996
  5. Step 5: Solve for x
    x = 376,856,020,996/452,008
  6. Step 6: Final answer
    x = 833,737.50

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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.