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Finding the Third Proportional to 427,714.50 and 918,609.50

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Solution

The third proportional to 427,714.50 and 918,609.50 is: 1,972,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,714.50 : 918,609.50 = 918,609.50 : x
  2. Step 2: Convert to fraction form
    427,714.50/918,609.50 = 918,609.50/x
  3. Step 3: Cross multiply
    427,714.50x = 918,609.50 × 918,609.50
  4. Step 4: Simplify right side
    427,714.50x = 843,843,413,490.25
  5. Step 5: Solve for x
    x = 843,843,413,490.25/427,714.50
  6. Step 6: Final answer
    x = 1,972,912.80

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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.