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Finding the Third Proportional to 363,504 and 794,400

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Solution

The third proportional to 363,504 and 794,400 is: 1,736,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,504 : 794,400 = 794,400 : x
  2. Step 2: Convert to fraction form
    363,504/794,400 = 794,400/x
  3. Step 3: Cross multiply
    363,504x = 794,400 × 794,400
  4. Step 4: Simplify right side
    363,504x = 631,071,360,000
  5. Step 5: Solve for x
    x = 631,071,360,000/363,504
  6. Step 6: Final answer
    x = 1,736,078.17

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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.