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Finding the Third Proportional to 393,165 and 859,924.50

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Solution

The third proportional to 393,165 and 859,924.50 is: 1,880,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,165 : 859,924.50 = 859,924.50 : x
  2. Step 2: Convert to fraction form
    393,165/859,924.50 = 859,924.50/x
  3. Step 3: Cross multiply
    393,165x = 859,924.50 × 859,924.50
  4. Step 4: Simplify right side
    393,165x = 739,470,145,700.25
  5. Step 5: Solve for x
    x = 739,470,145,700.25/393,165
  6. Step 6: Final answer
    x = 1,880,813.77

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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.