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Finding the Third Proportional to 436,768 and 952,592

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Solution

The third proportional to 436,768 and 952,592 is: 2,077,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,768 : 952,592 = 952,592 : x
  2. Step 2: Convert to fraction form
    436,768/952,592 = 952,592/x
  3. Step 3: Cross multiply
    436,768x = 952,592 × 952,592
  4. Step 4: Simplify right side
    436,768x = 907,431,518,464
  5. Step 5: Solve for x
    x = 907,431,518,464/436,768
  6. Step 6: Final answer
    x = 2,077,605.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.