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Finding the Third Proportional to 355,378 and 838,924

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Solution

The third proportional to 355,378 and 838,924 is: 1,980,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,378 : 838,924 = 838,924 : x
  2. Step 2: Convert to fraction form
    355,378/838,924 = 838,924/x
  3. Step 3: Cross multiply
    355,378x = 838,924 × 838,924
  4. Step 4: Simplify right side
    355,378x = 703,793,477,776
  5. Step 5: Solve for x
    x = 703,793,477,776/355,378
  6. Step 6: Final answer
    x = 1,980,408.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.