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Finding the Third Proportional to 291,633 and 417,036

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Solution

The third proportional to 291,633 and 417,036 is: 596,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,633 : 417,036 = 417,036 : x
  2. Step 2: Convert to fraction form
    291,633/417,036 = 417,036/x
  3. Step 3: Cross multiply
    291,633x = 417,036 × 417,036
  4. Step 4: Simplify right side
    291,633x = 173,919,025,296
  5. Step 5: Solve for x
    x = 173,919,025,296/291,633
  6. Step 6: Final answer
    x = 596,362.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.