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Finding the Third Proportional to 229,251 and 498,030

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Solution

The third proportional to 229,251 and 498,030 is: 1,081,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,251 : 498,030 = 498,030 : x
  2. Step 2: Convert to fraction form
    229,251/498,030 = 498,030/x
  3. Step 3: Cross multiply
    229,251x = 498,030 × 498,030
  4. Step 4: Simplify right side
    229,251x = 248,033,880,900
  5. Step 5: Solve for x
    x = 248,033,880,900/229,251
  6. Step 6: Final answer
    x = 1,081,931.51

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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.