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Finding the Third Proportional to 262,474.17 and 566,364.66

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Solution

The third proportional to 262,474.17 and 566,364.66 is: 1,222,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,474.17 : 566,364.66 = 566,364.66 : x
  2. Step 2: Convert to fraction form
    262,474.17/566,364.66 = 566,364.66/x
  3. Step 3: Cross multiply
    262,474.17x = 566,364.66 × 566,364.66
  4. Step 4: Simplify right side
    262,474.17x = 320,768,923,849.18
  5. Step 5: Solve for x
    x = 320,768,923,849.18/262,474.17
  6. Step 6: Final answer
    x = 1,222,097.10

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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.