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Finding the Third Proportional to 291,883.50 and 372,964.50

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Solution

The third proportional to 291,883.50 and 372,964.50 is: 476,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,883.50 : 372,964.50 = 372,964.50 : x
  2. Step 2: Convert to fraction form
    291,883.50/372,964.50 = 372,964.50/x
  3. Step 3: Cross multiply
    291,883.50x = 372,964.50 × 372,964.50
  4. Step 4: Simplify right side
    291,883.50x = 139,102,518,260.25
  5. Step 5: Solve for x
    x = 139,102,518,260.25/291,883.50
  6. Step 6: Final answer
    x = 476,568.63

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.