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Finding the Third Proportional to 300,490.50 and 612,109.50

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Solution

The third proportional to 300,490.50 and 612,109.50 is: 1,246,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,490.50 : 612,109.50 = 612,109.50 : x
  2. Step 2: Convert to fraction form
    300,490.50/612,109.50 = 612,109.50/x
  3. Step 3: Cross multiply
    300,490.50x = 612,109.50 × 612,109.50
  4. Step 4: Simplify right side
    300,490.50x = 374,678,039,990.25
  5. Step 5: Solve for x
    x = 374,678,039,990.25/300,490.50
  6. Step 6: Final answer
    x = 1,246,888.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.