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Finding the Third Proportional to 511,077.09 and 767,844.56

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Solution

The third proportional to 511,077.09 and 767,844.56 is: 1,153,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,077.09 : 767,844.56 = 767,844.56 : x
  2. Step 2: Convert to fraction form
    511,077.09/767,844.56 = 767,844.56/x
  3. Step 3: Cross multiply
    511,077.09x = 767,844.56 × 767,844.56
  4. Step 4: Simplify right side
    511,077.09x = 589,585,272,160.82
  5. Step 5: Solve for x
    x = 589,585,272,160.82/511,077.09
  6. Step 6: Final answer
    x = 1,153,613.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.