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Finding the Third Proportional to 281,284 and 606,546

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Solution

The third proportional to 281,284 and 606,546 is: 1,307,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,284 : 606,546 = 606,546 : x
  2. Step 2: Convert to fraction form
    281,284/606,546 = 606,546/x
  3. Step 3: Cross multiply
    281,284x = 606,546 × 606,546
  4. Step 4: Simplify right side
    281,284x = 367,898,050,116
  5. Step 5: Solve for x
    x = 367,898,050,116/281,284
  6. Step 6: Final answer
    x = 1,307,923.84

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