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Finding the Third Proportional to 300,240 and 648,591

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Solution

The third proportional to 300,240 and 648,591 is: 1,401,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,240 : 648,591 = 648,591 : x
  2. Step 2: Convert to fraction form
    300,240/648,591 = 648,591/x
  3. Step 3: Cross multiply
    300,240x = 648,591 × 648,591
  4. Step 4: Simplify right side
    300,240x = 420,670,285,281
  5. Step 5: Solve for x
    x = 420,670,285,281/300,240
  6. Step 6: Final answer
    x = 1,401,113.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.