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Finding the Third Proportional to 297,377.25 and 423,921.75

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Solution

The third proportional to 297,377.25 and 423,921.75 is: 604,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,377.25 : 423,921.75 = 423,921.75 : x
  2. Step 2: Convert to fraction form
    297,377.25/423,921.75 = 423,921.75/x
  3. Step 3: Cross multiply
    297,377.25x = 423,921.75 × 423,921.75
  4. Step 4: Simplify right side
    297,377.25x = 179,709,650,123.06
  5. Step 5: Solve for x
    x = 179,709,650,123.06/297,377.25
  6. Step 6: Final answer
    x = 604,315.39

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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.