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Finding the Third Proportional to 228,984 and 464,436

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Solution

The third proportional to 228,984 and 464,436 is: 941,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,984 : 464,436 = 464,436 : x
  2. Step 2: Convert to fraction form
    228,984/464,436 = 464,436/x
  3. Step 3: Cross multiply
    228,984x = 464,436 × 464,436
  4. Step 4: Simplify right side
    228,984x = 215,700,798,096
  5. Step 5: Solve for x
    x = 215,700,798,096/228,984
  6. Step 6: Final answer
    x = 941,990.70

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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.