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Finding the Third Proportional to 492,575.50 and 1,063,739

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Solution

The third proportional to 492,575.50 and 1,063,739 is: 2,297,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,575.50 : 1,063,739 = 1,063,739 : x
  2. Step 2: Convert to fraction form
    492,575.50/1,063,739 = 1,063,739/x
  3. Step 3: Cross multiply
    492,575.50x = 1,063,739 × 1,063,739
  4. Step 4: Simplify right side
    492,575.50x = 1,131,540,660,121
  5. Step 5: Solve for x
    x = 1,131,540,660,121/492,575.50
  6. Step 6: Final answer
    x = 2,297,192.33

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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.