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Finding the Third Proportional to 368,923.50 and 795,964.50

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Solution

The third proportional to 368,923.50 and 795,964.50 is: 1,717,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,923.50 : 795,964.50 = 795,964.50 : x
  2. Step 2: Convert to fraction form
    368,923.50/795,964.50 = 795,964.50/x
  3. Step 3: Cross multiply
    368,923.50x = 795,964.50 × 795,964.50
  4. Step 4: Simplify right side
    368,923.50x = 633,559,485,260.25
  5. Step 5: Solve for x
    x = 633,559,485,260.25/368,923.50
  6. Step 6: Final answer
    x = 1,717,319.40

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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.