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Finding the Third Proportional to 395,824 and 805,472

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Solution

The third proportional to 395,824 and 805,472 is: 1,639,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,824 : 805,472 = 805,472 : x
  2. Step 2: Convert to fraction form
    395,824/805,472 = 805,472/x
  3. Step 3: Cross multiply
    395,824x = 805,472 × 805,472
  4. Step 4: Simplify right side
    395,824x = 648,785,142,784
  5. Step 5: Solve for x
    x = 648,785,142,784/395,824
  6. Step 6: Final answer
    x = 1,639,074.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.