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Finding the Third Proportional to 419,952 and 907,296

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Solution

The third proportional to 419,952 and 907,296 is: 1,960,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,952 : 907,296 = 907,296 : x
  2. Step 2: Convert to fraction form
    419,952/907,296 = 907,296/x
  3. Step 3: Cross multiply
    419,952x = 907,296 × 907,296
  4. Step 4: Simplify right side
    419,952x = 823,186,031,616
  5. Step 5: Solve for x
    x = 823,186,031,616/419,952
  6. Step 6: Final answer
    x = 1,960,190.76

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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.