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Finding the Third Proportional to 451,994 and 613,865

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Solution

The third proportional to 451,994 and 613,865 is: 833,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,994 : 613,865 = 613,865 : x
  2. Step 2: Convert to fraction form
    451,994/613,865 = 613,865/x
  3. Step 3: Cross multiply
    451,994x = 613,865 × 613,865
  4. Step 4: Simplify right side
    451,994x = 376,830,238,225
  5. Step 5: Solve for x
    x = 376,830,238,225/451,994
  6. Step 6: Final answer
    x = 833,706.28

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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.