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Finding the Third Proportional to 767,226.94 and 1,161,502.03

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Solution

The third proportional to 767,226.94 and 1,161,502.03 is: 1,758,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,226.94 : 1,161,502.03 = 1,161,502.03 : x
  2. Step 2: Convert to fraction form
    767,226.94/1,161,502.03 = 1,161,502.03/x
  3. Step 3: Cross multiply
    767,226.94x = 1,161,502.03 × 1,161,502.03
  4. Step 4: Simplify right side
    767,226.94x = 1,349,086,968,597.88
  5. Step 5: Solve for x
    x = 1,349,086,968,597.88/767,226.94
  6. Step 6: Final answer
    x = 1,758,393.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.