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Finding the Third Proportional to 229,043 and 498,745

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Solution

The third proportional to 229,043 and 498,745 is: 1,086,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,043 : 498,745 = 498,745 : x
  2. Step 2: Convert to fraction form
    229,043/498,745 = 498,745/x
  3. Step 3: Cross multiply
    229,043x = 498,745 × 498,745
  4. Step 4: Simplify right side
    229,043x = 248,746,575,025
  5. Step 5: Solve for x
    x = 248,746,575,025/229,043
  6. Step 6: Final answer
    x = 1,086,025.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.