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Finding the Third Proportional to 466,472 and 962,388

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Solution

The third proportional to 466,472 and 962,388 is: 1,985,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,472 : 962,388 = 962,388 : x
  2. Step 2: Convert to fraction form
    466,472/962,388 = 962,388/x
  3. Step 3: Cross multiply
    466,472x = 962,388 × 962,388
  4. Step 4: Simplify right side
    466,472x = 926,190,662,544
  5. Step 5: Solve for x
    x = 926,190,662,544/466,472
  6. Step 6: Final answer
    x = 1,985,522.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.