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Finding the Third Proportional to 417,040.63 and 910,534.75

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Solution

The third proportional to 417,040.63 and 910,534.75 is: 1,987,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,040.63 : 910,534.75 = 910,534.75 : x
  2. Step 2: Convert to fraction form
    417,040.63/910,534.75 = 910,534.75/x
  3. Step 3: Cross multiply
    417,040.63x = 910,534.75 × 910,534.75
  4. Step 4: Simplify right side
    417,040.63x = 829,073,530,957.56
  5. Step 5: Solve for x
    x = 829,073,530,957.56/417,040.63
  6. Step 6: Final answer
    x = 1,987,992.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.