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Finding the Third Proportional to 437,436 and 632,176

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Solution

The third proportional to 437,436 and 632,176 is: 913,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,436 : 632,176 = 632,176 : x
  2. Step 2: Convert to fraction form
    437,436/632,176 = 632,176/x
  3. Step 3: Cross multiply
    437,436x = 632,176 × 632,176
  4. Step 4: Simplify right side
    437,436x = 399,646,494,976
  5. Step 5: Solve for x
    x = 399,646,494,976/437,436
  6. Step 6: Final answer
    x = 913,611.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.