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Finding the Third Proportional to 290,850.75 and 608,188.50

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Solution

The third proportional to 290,850.75 and 608,188.50 is: 1,271,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,850.75 : 608,188.50 = 608,188.50 : x
  2. Step 2: Convert to fraction form
    290,850.75/608,188.50 = 608,188.50/x
  3. Step 3: Cross multiply
    290,850.75x = 608,188.50 × 608,188.50
  4. Step 4: Simplify right side
    290,850.75x = 369,893,251,532.25
  5. Step 5: Solve for x
    x = 369,893,251,532.25/290,850.75
  6. Step 6: Final answer
    x = 1,271,763.10

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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.