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Finding the Third Proportional to 290,814 and 608,116

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Solution

The third proportional to 290,814 and 608,116 is: 1,271,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,814 : 608,116 = 608,116 : x
  2. Step 2: Convert to fraction form
    290,814/608,116 = 608,116/x
  3. Step 3: Cross multiply
    290,814x = 608,116 × 608,116
  4. Step 4: Simplify right side
    290,814x = 369,805,069,456
  5. Step 5: Solve for x
    x = 369,805,069,456/290,814
  6. Step 6: Final answer
    x = 1,271,620.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.