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Finding the Third Proportional to 300,898.50 and 724,998

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Solution

The third proportional to 300,898.50 and 724,998 is: 1,746,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,898.50 : 724,998 = 724,998 : x
  2. Step 2: Convert to fraction form
    300,898.50/724,998 = 724,998/x
  3. Step 3: Cross multiply
    300,898.50x = 724,998 × 724,998
  4. Step 4: Simplify right side
    300,898.50x = 525,622,100,004
  5. Step 5: Solve for x
    x = 525,622,100,004/300,898.50
  6. Step 6: Final answer
    x = 1,746,841.88

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.