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Finding the Third Proportional to 400,432 and 870,544

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Solution

The third proportional to 400,432 and 870,544 is: 1,892,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,432 : 870,544 = 870,544 : x
  2. Step 2: Convert to fraction form
    400,432/870,544 = 870,544/x
  3. Step 3: Cross multiply
    400,432x = 870,544 × 870,544
  4. Step 4: Simplify right side
    400,432x = 757,846,855,936
  5. Step 5: Solve for x
    x = 757,846,855,936/400,432
  6. Step 6: Final answer
    x = 1,892,573.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.