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Finding the Third Proportional to 423,958.50 and 594,168.75

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Solution

The third proportional to 423,958.50 and 594,168.75 is: 832,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,958.50 : 594,168.75 = 594,168.75 : x
  2. Step 2: Convert to fraction form
    423,958.50/594,168.75 = 594,168.75/x
  3. Step 3: Cross multiply
    423,958.50x = 594,168.75 × 594,168.75
  4. Step 4: Simplify right side
    423,958.50x = 353,036,503,476.56
  5. Step 5: Solve for x
    x = 353,036,503,476.56/423,958.50
  6. Step 6: Final answer
    x = 832,714.77

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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.