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Finding the Third Proportional to 262,596.94 and 576,036.56

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Solution

The third proportional to 262,596.94 and 576,036.56 is: 1,263,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,596.94 : 576,036.56 = 576,036.56 : x
  2. Step 2: Convert to fraction form
    262,596.94/576,036.56 = 576,036.56/x
  3. Step 3: Cross multiply
    262,596.94x = 576,036.56 × 576,036.56
  4. Step 4: Simplify right side
    262,596.94x = 331,818,121,336.82
  5. Step 5: Solve for x
    x = 331,818,121,336.82/262,596.94
  6. Step 6: Final answer
    x = 1,263,602.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.