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Finding the Third Proportional to 437,232 and 943,344

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Solution

The third proportional to 437,232 and 943,344 is: 2,035,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,232 : 943,344 = 943,344 : x
  2. Step 2: Convert to fraction form
    437,232/943,344 = 943,344/x
  3. Step 3: Cross multiply
    437,232x = 943,344 × 943,344
  4. Step 4: Simplify right side
    437,232x = 889,897,902,336
  5. Step 5: Solve for x
    x = 889,897,902,336/437,232
  6. Step 6: Final answer
    x = 2,035,299.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.