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Finding the Third Proportional to 300,791 and 668,829.50

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Solution

The third proportional to 300,791 and 668,829.50 is: 1,487,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,791 : 668,829.50 = 668,829.50 : x
  2. Step 2: Convert to fraction form
    300,791/668,829.50 = 668,829.50/x
  3. Step 3: Cross multiply
    300,791x = 668,829.50 × 668,829.50
  4. Step 4: Simplify right side
    300,791x = 447,332,900,070.25
  5. Step 5: Solve for x
    x = 447,332,900,070.25/300,791
  6. Step 6: Final answer
    x = 1,487,188.45

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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.