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Finding the Third Proportional to 306,543 and 668,256

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Solution

The third proportional to 306,543 and 668,256 is: 1,456,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,543 : 668,256 = 668,256 : x
  2. Step 2: Convert to fraction form
    306,543/668,256 = 668,256/x
  3. Step 3: Cross multiply
    306,543x = 668,256 × 668,256
  4. Step 4: Simplify right side
    306,543x = 446,566,081,536
  5. Step 5: Solve for x
    x = 446,566,081,536/306,543
  6. Step 6: Final answer
    x = 1,456,781.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.