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Finding the Third Proportional to 448,358.63 and 967,546.13

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Solution

The third proportional to 448,358.63 and 967,546.13 is: 2,087,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,358.63 : 967,546.13 = 967,546.13 : x
  2. Step 2: Convert to fraction form
    448,358.63/967,546.13 = 967,546.13/x
  3. Step 3: Cross multiply
    448,358.63x = 967,546.13 × 967,546.13
  4. Step 4: Simplify right side
    448,358.63x = 936,145,504,002.52
  5. Step 5: Solve for x
    x = 936,145,504,002.52/448,358.63
  6. Step 6: Final answer
    x = 2,087,939.10

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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.