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Finding the Third Proportional to 448,296 and 967,437

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Solution

The third proportional to 448,296 and 967,437 is: 2,087,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,296 : 967,437 = 967,437 : x
  2. Step 2: Convert to fraction form
    448,296/967,437 = 967,437/x
  3. Step 3: Cross multiply
    448,296x = 967,437 × 967,437
  4. Step 4: Simplify right side
    448,296x = 935,934,348,969
  5. Step 5: Solve for x
    x = 935,934,348,969/448,296
  6. Step 6: Final answer
    x = 2,087,759.76

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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.