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Finding the Third Proportional to 442,384.03 and 967,560.19

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Solution

The third proportional to 442,384.03 and 967,560.19 is: 2,116,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,384.03 : 967,560.19 = 967,560.19 : x
  2. Step 2: Convert to fraction form
    442,384.03/967,560.19 = 967,560.19/x
  3. Step 3: Cross multiply
    442,384.03x = 967,560.19 × 967,560.19
  4. Step 4: Simplify right side
    442,384.03x = 936,172,716,435.04
  5. Step 5: Solve for x
    x = 936,172,716,435.04/442,384.03
  6. Step 6: Final answer
    x = 2,116,199.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.