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Finding the Third Proportional to 625,266 and 1,272,629.25

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Solution

The third proportional to 625,266 and 1,272,629.25 is: 2,590,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,266 : 1,272,629.25 = 1,272,629.25 : x
  2. Step 2: Convert to fraction form
    625,266/1,272,629.25 = 1,272,629.25/x
  3. Step 3: Cross multiply
    625,266x = 1,272,629.25 × 1,272,629.25
  4. Step 4: Simplify right side
    625,266x = 1,619,585,207,955.56
  5. Step 5: Solve for x
    x = 1,619,585,207,955.56/625,266
  6. Step 6: Final answer
    x = 2,590,233.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.