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Finding the Third Proportional to 566,782.31 and 1,197,549.56

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Solution

The third proportional to 566,782.31 and 1,197,549.56 is: 2,530,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,782.31 : 1,197,549.56 = 1,197,549.56 : x
  2. Step 2: Convert to fraction form
    566,782.31/1,197,549.56 = 1,197,549.56/x
  3. Step 3: Cross multiply
    566,782.31x = 1,197,549.56 × 1,197,549.56
  4. Step 4: Simplify right side
    566,782.31x = 1,434,124,954,643.94
  5. Step 5: Solve for x
    x = 1,434,124,954,643.94/566,782.31
  6. Step 6: Final answer
    x = 2,530,292.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.