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Finding the Third Proportional to 431,332 and 941,768

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Solution

The third proportional to 431,332 and 941,768 is: 2,056,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,332 : 941,768 = 941,768 : x
  2. Step 2: Convert to fraction form
    431,332/941,768 = 941,768/x
  3. Step 3: Cross multiply
    431,332x = 941,768 × 941,768
  4. Step 4: Simplify right side
    431,332x = 886,926,965,824
  5. Step 5: Solve for x
    x = 886,926,965,824/431,332
  6. Step 6: Final answer
    x = 2,056,251.25

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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.