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Finding the Third Proportional to 290,874 and 608,221.50

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Solution

The third proportional to 290,874 and 608,221.50 is: 1,271,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,874 : 608,221.50 = 608,221.50 : x
  2. Step 2: Convert to fraction form
    290,874/608,221.50 = 608,221.50/x
  3. Step 3: Cross multiply
    290,874x = 608,221.50 × 608,221.50
  4. Step 4: Simplify right side
    290,874x = 369,933,393,062.25
  5. Step 5: Solve for x
    x = 369,933,393,062.25/290,874
  6. Step 6: Final answer
    x = 1,271,799.45

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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.