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Finding the Third Proportional to 281,493 and 606,726

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Solution

The third proportional to 281,493 and 606,726 is: 1,307,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,493 : 606,726 = 606,726 : x
  2. Step 2: Convert to fraction form
    281,493/606,726 = 606,726/x
  3. Step 3: Cross multiply
    281,493x = 606,726 × 606,726
  4. Step 4: Simplify right side
    281,493x = 368,116,439,076
  5. Step 5: Solve for x
    x = 368,116,439,076/281,493
  6. Step 6: Final answer
    x = 1,307,728.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.