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Finding the Third Proportional to 468,676 and 699,946.50

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Solution

The third proportional to 468,676 and 699,946.50 is: 1,045,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,676 : 699,946.50 = 699,946.50 : x
  2. Step 2: Convert to fraction form
    468,676/699,946.50 = 699,946.50/x
  3. Step 3: Cross multiply
    468,676x = 699,946.50 × 699,946.50
  4. Step 4: Simplify right side
    468,676x = 489,925,102,862.25
  5. Step 5: Solve for x
    x = 489,925,102,862.25/468,676
  6. Step 6: Final answer
    x = 1,045,338.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.