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Finding the Third Proportional to 312,234 and 736,827

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Solution

The third proportional to 312,234 and 736,827 is: 1,738,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,234 : 736,827 = 736,827 : x
  2. Step 2: Convert to fraction form
    312,234/736,827 = 736,827/x
  3. Step 3: Cross multiply
    312,234x = 736,827 × 736,827
  4. Step 4: Simplify right side
    312,234x = 542,914,027,929
  5. Step 5: Solve for x
    x = 542,914,027,929/312,234
  6. Step 6: Final answer
    x = 1,738,804.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.