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Finding the Third Proportional to 392,234 and 846,674

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Solution

The third proportional to 392,234 and 846,674 is: 1,827,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,234 : 846,674 = 846,674 : x
  2. Step 2: Convert to fraction form
    392,234/846,674 = 846,674/x
  3. Step 3: Cross multiply
    392,234x = 846,674 × 846,674
  4. Step 4: Simplify right side
    392,234x = 716,856,862,276
  5. Step 5: Solve for x
    x = 716,856,862,276/392,234
  6. Step 6: Final answer
    x = 1,827,625.50

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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.