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Finding the Third Proportional to 423,832.50 and 594,000

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Solution

The third proportional to 423,832.50 and 594,000 is: 832,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,832.50 : 594,000 = 594,000 : x
  2. Step 2: Convert to fraction form
    423,832.50/594,000 = 594,000/x
  3. Step 3: Cross multiply
    423,832.50x = 594,000 × 594,000
  4. Step 4: Simplify right side
    423,832.50x = 352,836,000,000
  5. Step 5: Solve for x
    x = 352,836,000,000/423,832.50
  6. Step 6: Final answer
    x = 832,489.25

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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.