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Finding the Third Proportional to 297,221.25 and 642,920.25

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Solution

The third proportional to 297,221.25 and 642,920.25 is: 1,390,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,221.25 : 642,920.25 = 642,920.25 : x
  2. Step 2: Convert to fraction form
    297,221.25/642,920.25 = 642,920.25/x
  3. Step 3: Cross multiply
    297,221.25x = 642,920.25 × 642,920.25
  4. Step 4: Simplify right side
    297,221.25x = 413,346,447,860.06
  5. Step 5: Solve for x
    x = 413,346,447,860.06/297,221.25
  6. Step 6: Final answer
    x = 1,390,702.88

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