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Finding the Third Proportional to 229,056 and 493,230

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Solution

The third proportional to 229,056 and 493,230 is: 1,062,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,056 : 493,230 = 493,230 : x
  2. Step 2: Convert to fraction form
    229,056/493,230 = 493,230/x
  3. Step 3: Cross multiply
    229,056x = 493,230 × 493,230
  4. Step 4: Simplify right side
    229,056x = 243,275,832,900
  5. Step 5: Solve for x
    x = 243,275,832,900/229,056
  6. Step 6: Final answer
    x = 1,062,080.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.