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Finding the Third Proportional to 208,044 and 447,688.50

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Solution

The third proportional to 208,044 and 447,688.50 is: 963,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,044 : 447,688.50 = 447,688.50 : x
  2. Step 2: Convert to fraction form
    208,044/447,688.50 = 447,688.50/x
  3. Step 3: Cross multiply
    208,044x = 447,688.50 × 447,688.50
  4. Step 4: Simplify right side
    208,044x = 200,424,993,032.25
  5. Step 5: Solve for x
    x = 200,424,993,032.25/208,044
  6. Step 6: Final answer
    x = 963,377.91

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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.