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Finding the Third Proportional to 297,735.75 and 425,553.75

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Solution

The third proportional to 297,735.75 and 425,553.75 is: 608,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,735.75 : 425,553.75 = 425,553.75 : x
  2. Step 2: Convert to fraction form
    297,735.75/425,553.75 = 425,553.75/x
  3. Step 3: Cross multiply
    297,735.75x = 425,553.75 × 425,553.75
  4. Step 4: Simplify right side
    297,735.75x = 181,095,994,139.06
  5. Step 5: Solve for x
    x = 181,095,994,139.06/297,735.75
  6. Step 6: Final answer
    x = 608,244.04

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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.