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Finding the Third Proportional to 262,936.13 and 567,914.63

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Solution

The third proportional to 262,936.13 and 567,914.63 is: 1,226,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,936.13 : 567,914.63 = 567,914.63 : x
  2. Step 2: Convert to fraction form
    262,936.13/567,914.63 = 567,914.63/x
  3. Step 3: Cross multiply
    262,936.13x = 567,914.63 × 567,914.63
  4. Step 4: Simplify right side
    262,936.13x = 322,527,021,288.89
  5. Step 5: Solve for x
    x = 322,527,021,288.89/262,936.13
  6. Step 6: Final answer
    x = 1,226,636.40

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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.