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Finding the Third Proportional to 304,149.75 and 627,577.50

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Solution

The third proportional to 304,149.75 and 627,577.50 is: 1,294,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,149.75 : 627,577.50 = 627,577.50 : x
  2. Step 2: Convert to fraction form
    304,149.75/627,577.50 = 627,577.50/x
  3. Step 3: Cross multiply
    304,149.75x = 627,577.50 × 627,577.50
  4. Step 4: Simplify right side
    304,149.75x = 393,853,518,506.25
  5. Step 5: Solve for x
    x = 393,853,518,506.25/304,149.75
  6. Step 6: Final answer
    x = 1,294,932.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.