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Finding the Third Proportional to 290,810.25 and 608,107.50

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Solution

The third proportional to 290,810.25 and 608,107.50 is: 1,271,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,810.25 : 608,107.50 = 608,107.50 : x
  2. Step 2: Convert to fraction form
    290,810.25/608,107.50 = 608,107.50/x
  3. Step 3: Cross multiply
    290,810.25x = 608,107.50 × 608,107.50
  4. Step 4: Simplify right side
    290,810.25x = 369,794,731,556.25
  5. Step 5: Solve for x
    x = 369,794,731,556.25/290,810.25
  6. Step 6: Final answer
    x = 1,271,601.44

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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.