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Finding the Third Proportional to 228,390 and 491,700

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Solution

The third proportional to 228,390 and 491,700 is: 1,058,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,390 : 491,700 = 491,700 : x
  2. Step 2: Convert to fraction form
    228,390/491,700 = 491,700/x
  3. Step 3: Cross multiply
    228,390x = 491,700 × 491,700
  4. Step 4: Simplify right side
    228,390x = 241,768,890,000
  5. Step 5: Solve for x
    x = 241,768,890,000/228,390
  6. Step 6: Final answer
    x = 1,058,579.14

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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.