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Finding the Third Proportional to 405,604.13 and 636,247.13

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Solution

The third proportional to 405,604.13 and 636,247.13 is: 998,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,604.13 : 636,247.13 = 636,247.13 : x
  2. Step 2: Convert to fraction form
    405,604.13/636,247.13 = 636,247.13/x
  3. Step 3: Cross multiply
    405,604.13x = 636,247.13 × 636,247.13
  4. Step 4: Simplify right side
    405,604.13x = 404,810,404,070.77
  5. Step 5: Solve for x
    x = 404,810,404,070.77/405,604.13
  6. Step 6: Final answer
    x = 998,043.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.