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Finding the Third Proportional to 305,756 and 648,514

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Solution

The third proportional to 305,756 and 648,514 is: 1,375,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,756 : 648,514 = 648,514 : x
  2. Step 2: Convert to fraction form
    305,756/648,514 = 648,514/x
  3. Step 3: Cross multiply
    305,756x = 648,514 × 648,514
  4. Step 4: Simplify right side
    305,756x = 420,570,408,196
  5. Step 5: Solve for x
    x = 420,570,408,196/305,756
  6. Step 6: Final answer
    x = 1,375,509.91

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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.