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Finding the Third Proportional to 392,262 and 846,732

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Solution

The third proportional to 392,262 and 846,732 is: 1,827,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,262 : 846,732 = 846,732 : x
  2. Step 2: Convert to fraction form
    392,262/846,732 = 846,732/x
  3. Step 3: Cross multiply
    392,262x = 846,732 × 846,732
  4. Step 4: Simplify right side
    392,262x = 716,955,079,824
  5. Step 5: Solve for x
    x = 716,955,079,824/392,262
  6. Step 6: Final answer
    x = 1,827,745.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.