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Finding the Third Proportional to 428,024.25 and 927,379.13

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Solution

The third proportional to 428,024.25 and 927,379.13 is: 2,009,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,024.25 : 927,379.13 = 927,379.13 : x
  2. Step 2: Convert to fraction form
    428,024.25/927,379.13 = 927,379.13/x
  3. Step 3: Cross multiply
    428,024.25x = 927,379.13 × 927,379.13
  4. Step 4: Simplify right side
    428,024.25x = 860,032,041,485.77
  5. Step 5: Solve for x
    x = 860,032,041,485.77/428,024.25
  6. Step 6: Final answer
    x = 2,009,306.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.