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Finding the Third Proportional to 405,612.75 and 636,259.50

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Solution

The third proportional to 405,612.75 and 636,259.50 is: 998,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,612.75 : 636,259.50 = 636,259.50 : x
  2. Step 2: Convert to fraction form
    405,612.75/636,259.50 = 636,259.50/x
  3. Step 3: Cross multiply
    405,612.75x = 636,259.50 × 636,259.50
  4. Step 4: Simplify right side
    405,612.75x = 404,826,151,340.25
  5. Step 5: Solve for x
    x = 404,826,151,340.25/405,612.75
  6. Step 6: Final answer
    x = 998,060.72

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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.