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Finding the Third Proportional to 228,988 and 464,444

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Solution

The third proportional to 228,988 and 464,444 is: 942,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,988 : 464,444 = 464,444 : x
  2. Step 2: Convert to fraction form
    228,988/464,444 = 464,444/x
  3. Step 3: Cross multiply
    228,988x = 464,444 × 464,444
  4. Step 4: Simplify right side
    228,988x = 215,708,229,136
  5. Step 5: Solve for x
    x = 215,708,229,136/228,988
  6. Step 6: Final answer
    x = 942,006.70

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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.