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Finding the Third Proportional to 438,652 and 594,400

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Solution

The third proportional to 438,652 and 594,400 is: 805,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,652 : 594,400 = 594,400 : x
  2. Step 2: Convert to fraction form
    438,652/594,400 = 594,400/x
  3. Step 3: Cross multiply
    438,652x = 594,400 × 594,400
  4. Step 4: Simplify right side
    438,652x = 353,311,360,000
  5. Step 5: Solve for x
    x = 353,311,360,000/438,652
  6. Step 6: Final answer
    x = 805,447.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.