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Finding the Third Proportional to 297,588.38 and 425,382.75

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Solution

The third proportional to 297,588.38 and 425,382.75 is: 608,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,588.38 : 425,382.75 = 425,382.75 : x
  2. Step 2: Convert to fraction form
    297,588.38/425,382.75 = 425,382.75/x
  3. Step 3: Cross multiply
    297,588.38x = 425,382.75 × 425,382.75
  4. Step 4: Simplify right side
    297,588.38x = 180,950,483,997.56
  5. Step 5: Solve for x
    x = 180,950,483,997.56/297,588.38
  6. Step 6: Final answer
    x = 608,056.29

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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.