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Finding the Third Proportional to 647,545.50 and 980,349.75

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Solution

The third proportional to 647,545.50 and 980,349.75 is: 1,484,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,545.50 : 980,349.75 = 980,349.75 : x
  2. Step 2: Convert to fraction form
    647,545.50/980,349.75 = 980,349.75/x
  3. Step 3: Cross multiply
    647,545.50x = 980,349.75 × 980,349.75
  4. Step 4: Simplify right side
    647,545.50x = 961,085,632,325.06
  5. Step 5: Solve for x
    x = 961,085,632,325.06/647,545.50
  6. Step 6: Final answer
    x = 1,484,197.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.