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Finding the Third Proportional to 300,784.50 and 668,810

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Solution

The third proportional to 300,784.50 and 668,810 is: 1,487,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,784.50 : 668,810 = 668,810 : x
  2. Step 2: Convert to fraction form
    300,784.50/668,810 = 668,810/x
  3. Step 3: Cross multiply
    300,784.50x = 668,810 × 668,810
  4. Step 4: Simplify right side
    300,784.50x = 447,306,816,100
  5. Step 5: Solve for x
    x = 447,306,816,100/300,784.50
  6. Step 6: Final answer
    x = 1,487,133.87

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.