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Finding the Third Proportional to 638,404.50 and 1,370,890.50

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Solution

The third proportional to 638,404.50 and 1,370,890.50 is: 2,943,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,404.50 : 1,370,890.50 = 1,370,890.50 : x
  2. Step 2: Convert to fraction form
    638,404.50/1,370,890.50 = 1,370,890.50/x
  3. Step 3: Cross multiply
    638,404.50x = 1,370,890.50 × 1,370,890.50
  4. Step 4: Simplify right side
    638,404.50x = 1,879,340,762,990.25
  5. Step 5: Solve for x
    x = 1,879,340,762,990.25/638,404.50
  6. Step 6: Final answer
    x = 2,943,808.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.