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Finding the Third Proportional to 425,108.25 and 594,327.38

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Solution

The third proportional to 425,108.25 and 594,327.38 is: 830,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,108.25 : 594,327.38 = 594,327.38 : x
  2. Step 2: Convert to fraction form
    425,108.25/594,327.38 = 594,327.38/x
  3. Step 3: Cross multiply
    425,108.25x = 594,327.38 × 594,327.38
  4. Step 4: Simplify right side
    425,108.25x = 353,225,028,674.39
  5. Step 5: Solve for x
    x = 353,225,028,674.39/425,108.25
  6. Step 6: Final answer
    x = 830,906.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.