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Finding the Third Proportional to 208,617.75 and 456,601.50

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Solution

The third proportional to 208,617.75 and 456,601.50 is: 999,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,617.75 : 456,601.50 = 456,601.50 : x
  2. Step 2: Convert to fraction form
    208,617.75/456,601.50 = 456,601.50/x
  3. Step 3: Cross multiply
    208,617.75x = 456,601.50 × 456,601.50
  4. Step 4: Simplify right side
    208,617.75x = 208,484,929,802.25
  5. Step 5: Solve for x
    x = 208,484,929,802.25/208,617.75
  6. Step 6: Final answer
    x = 999,363.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.