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Finding the Third Proportional to 229,060 and 464,275

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Solution

The third proportional to 229,060 and 464,275 is: 941,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,060 : 464,275 = 464,275 : x
  2. Step 2: Convert to fraction form
    229,060/464,275 = 464,275/x
  3. Step 3: Cross multiply
    229,060x = 464,275 × 464,275
  4. Step 4: Simplify right side
    229,060x = 215,551,275,625
  5. Step 5: Solve for x
    x = 215,551,275,625/229,060
  6. Step 6: Final answer
    x = 941,025.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.