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Finding the Third Proportional to 620,184 and 959,544

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Solution

The third proportional to 620,184 and 959,544 is: 1,484,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,184 : 959,544 = 959,544 : x
  2. Step 2: Convert to fraction form
    620,184/959,544 = 959,544/x
  3. Step 3: Cross multiply
    620,184x = 959,544 × 959,544
  4. Step 4: Simplify right side
    620,184x = 920,724,687,936
  5. Step 5: Solve for x
    x = 920,724,687,936/620,184
  6. Step 6: Final answer
    x = 1,484,599.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.