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Finding the Third Proportional to 448,629.75 and 967,699.13

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Solution

The third proportional to 448,629.75 and 967,699.13 is: 2,087,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,629.75 : 967,699.13 = 967,699.13 : x
  2. Step 2: Convert to fraction form
    448,629.75/967,699.13 = 967,699.13/x
  3. Step 3: Cross multiply
    448,629.75x = 967,699.13 × 967,699.13
  4. Step 4: Simplify right side
    448,629.75x = 936,441,596,525.77
  5. Step 5: Solve for x
    x = 936,441,596,525.77/448,629.75
  6. Step 6: Final answer
    x = 2,087,337.27

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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.