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Finding the Third Proportional to 405,595.69 and 636,229.69

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Solution

The third proportional to 405,595.69 and 636,229.69 is: 998,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,595.69 : 636,229.69 = 636,229.69 : x
  2. Step 2: Convert to fraction form
    405,595.69/636,229.69 = 636,229.69/x
  3. Step 3: Cross multiply
    405,595.69x = 636,229.69 × 636,229.69
  4. Step 4: Simplify right side
    405,595.69x = 404,788,215,256.35
  5. Step 5: Solve for x
    x = 404,788,215,256.35/405,595.69
  6. Step 6: Final answer
    x = 998,009.17

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