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Finding the Third Proportional to 340,864 and 533,544

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Solution

The third proportional to 340,864 and 533,544 is: 835,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,864 : 533,544 = 533,544 : x
  2. Step 2: Convert to fraction form
    340,864/533,544 = 533,544/x
  3. Step 3: Cross multiply
    340,864x = 533,544 × 533,544
  4. Step 4: Simplify right side
    340,864x = 284,669,199,936
  5. Step 5: Solve for x
    x = 284,669,199,936/340,864
  6. Step 6: Final answer
    x = 835,140.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.