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Finding the Third Proportional to 451,998 and 613,871

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Solution

The third proportional to 451,998 and 613,871 is: 833,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,998 : 613,871 = 613,871 : x
  2. Step 2: Convert to fraction form
    451,998/613,871 = 613,871/x
  3. Step 3: Cross multiply
    451,998x = 613,871 × 613,871
  4. Step 4: Simplify right side
    451,998x = 376,837,604,641
  5. Step 5: Solve for x
    x = 376,837,604,641/451,998
  6. Step 6: Final answer
    x = 833,715.20

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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.