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Finding the Third Proportional to 417,504 and 930,628

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Solution

The third proportional to 417,504 and 930,628 is: 2,074,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,504 : 930,628 = 930,628 : x
  2. Step 2: Convert to fraction form
    417,504/930,628 = 930,628/x
  3. Step 3: Cross multiply
    417,504x = 930,628 × 930,628
  4. Step 4: Simplify right side
    417,504x = 866,068,474,384
  5. Step 5: Solve for x
    x = 866,068,474,384/417,504
  6. Step 6: Final answer
    x = 2,074,395.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.