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Finding the Third Proportional to 301,787.25 and 652,577.25

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Solution

The third proportional to 301,787.25 and 652,577.25 is: 1,411,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,787.25 : 652,577.25 = 652,577.25 : x
  2. Step 2: Convert to fraction form
    301,787.25/652,577.25 = 652,577.25/x
  3. Step 3: Cross multiply
    301,787.25x = 652,577.25 × 652,577.25
  4. Step 4: Simplify right side
    301,787.25x = 425,857,067,217.56
  5. Step 5: Solve for x
    x = 425,857,067,217.56/301,787.25
  6. Step 6: Final answer
    x = 1,411,116.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.