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Finding the Third Proportional to 297,375.75 and 423,920.25

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Solution

The third proportional to 297,375.75 and 423,920.25 is: 604,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,375.75 : 423,920.25 = 423,920.25 : x
  2. Step 2: Convert to fraction form
    297,375.75/423,920.25 = 423,920.25/x
  3. Step 3: Cross multiply
    297,375.75x = 423,920.25 × 423,920.25
  4. Step 4: Simplify right side
    297,375.75x = 179,708,378,360.06
  5. Step 5: Solve for x
    x = 179,708,378,360.06/297,375.75
  6. Step 6: Final answer
    x = 604,314.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.