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Finding the Third Proportional to 462,314.25 and 993,377.25

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Solution

The third proportional to 462,314.25 and 993,377.25 is: 2,134,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,314.25 : 993,377.25 = 993,377.25 : x
  2. Step 2: Convert to fraction form
    462,314.25/993,377.25 = 993,377.25/x
  3. Step 3: Cross multiply
    462,314.25x = 993,377.25 × 993,377.25
  4. Step 4: Simplify right side
    462,314.25x = 986,798,360,817.56
  5. Step 5: Solve for x
    x = 986,798,360,817.56/462,314.25
  6. Step 6: Final answer
    x = 2,134,475.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.