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Finding the Third Proportional to 397,232 and 907,544

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Solution

The third proportional to 397,232 and 907,544 is: 2,073,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,232 : 907,544 = 907,544 : x
  2. Step 2: Convert to fraction form
    397,232/907,544 = 907,544/x
  3. Step 3: Cross multiply
    397,232x = 907,544 × 907,544
  4. Step 4: Simplify right side
    397,232x = 823,636,111,936
  5. Step 5: Solve for x
    x = 823,636,111,936/397,232
  6. Step 6: Final answer
    x = 2,073,438.47

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.