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Finding the Third Proportional to 262,838.25 and 411,772.50

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Solution

The third proportional to 262,838.25 and 411,772.50 is: 645,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,838.25 : 411,772.50 = 411,772.50 : x
  2. Step 2: Convert to fraction form
    262,838.25/411,772.50 = 411,772.50/x
  3. Step 3: Cross multiply
    262,838.25x = 411,772.50 × 411,772.50
  4. Step 4: Simplify right side
    262,838.25x = 169,556,591,756.25
  5. Step 5: Solve for x
    x = 169,556,591,756.25/262,838.25
  6. Step 6: Final answer
    x = 645,098.62

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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.