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Finding the Third Proportional to 297,374.25 and 423,917.25

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Solution

The third proportional to 297,374.25 and 423,917.25 is: 604,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,374.25 : 423,917.25 = 423,917.25 : x
  2. Step 2: Convert to fraction form
    297,374.25/423,917.25 = 423,917.25/x
  3. Step 3: Cross multiply
    297,374.25x = 423,917.25 × 423,917.25
  4. Step 4: Simplify right side
    297,374.25x = 179,705,834,847.56
  5. Step 5: Solve for x
    x = 179,705,834,847.56/297,374.25
  6. Step 6: Final answer
    x = 604,308.66

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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.