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Finding the Third Proportional to 229,254 and 498,036

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Solution

The third proportional to 229,254 and 498,036 is: 1,081,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,254 : 498,036 = 498,036 : x
  2. Step 2: Convert to fraction form
    229,254/498,036 = 498,036/x
  3. Step 3: Cross multiply
    229,254x = 498,036 × 498,036
  4. Step 4: Simplify right side
    229,254x = 248,039,857,296
  5. Step 5: Solve for x
    x = 248,039,857,296/229,254
  6. Step 6: Final answer
    x = 1,081,943.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.