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Finding the Third Proportional to 284,762 and 626,367.50

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Solution

The third proportional to 284,762 and 626,367.50 is: 1,377,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,762 : 626,367.50 = 626,367.50 : x
  2. Step 2: Convert to fraction form
    284,762/626,367.50 = 626,367.50/x
  3. Step 3: Cross multiply
    284,762x = 626,367.50 × 626,367.50
  4. Step 4: Simplify right side
    284,762x = 392,336,245,056.25
  5. Step 5: Solve for x
    x = 392,336,245,056.25/284,762
  6. Step 6: Final answer
    x = 1,377,768.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.