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Finding the Third Proportional to 305,757 and 648,516

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Solution

The third proportional to 305,757 and 648,516 is: 1,375,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,757 : 648,516 = 648,516 : x
  2. Step 2: Convert to fraction form
    305,757/648,516 = 648,516/x
  3. Step 3: Cross multiply
    305,757x = 648,516 × 648,516
  4. Step 4: Simplify right side
    305,757x = 420,573,002,256
  5. Step 5: Solve for x
    x = 420,573,002,256/305,757
  6. Step 6: Final answer
    x = 1,375,513.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.