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Finding the Third Proportional to 262,963.88 and 567,446.25

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Solution

The third proportional to 262,963.88 and 567,446.25 is: 1,224,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,963.88 : 567,446.25 = 567,446.25 : x
  2. Step 2: Convert to fraction form
    262,963.88/567,446.25 = 567,446.25/x
  3. Step 3: Cross multiply
    262,963.88x = 567,446.25 × 567,446.25
  4. Step 4: Simplify right side
    262,963.88x = 321,995,246,639.06
  5. Step 5: Solve for x
    x = 321,995,246,639.06/262,963.88
  6. Step 6: Final answer
    x = 1,224,484.72

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Why These Related Problems?

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