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Finding the Third Proportional to 262,916 and 566,536

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Solution

The third proportional to 262,916 and 566,536 is: 1,220,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,916 : 566,536 = 566,536 : x
  2. Step 2: Convert to fraction form
    262,916/566,536 = 566,536/x
  3. Step 3: Cross multiply
    262,916x = 566,536 × 566,536
  4. Step 4: Simplify right side
    262,916x = 320,963,039,296
  5. Step 5: Solve for x
    x = 320,963,039,296/262,916
  6. Step 6: Final answer
    x = 1,220,781.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.