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Finding the Third Proportional to 284,939 and 442,950.50

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Solution

The third proportional to 284,939 and 442,950.50 is: 688,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,939 : 442,950.50 = 442,950.50 : x
  2. Step 2: Convert to fraction form
    284,939/442,950.50 = 442,950.50/x
  3. Step 3: Cross multiply
    284,939x = 442,950.50 × 442,950.50
  4. Step 4: Simplify right side
    284,939x = 196,205,145,450.25
  5. Step 5: Solve for x
    x = 196,205,145,450.25/284,939
  6. Step 6: Final answer
    x = 688,586.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.