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Finding the Third Proportional to 213,248 and 459,301

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Solution

The third proportional to 213,248 and 459,301 is: 989,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,248 : 459,301 = 459,301 : x
  2. Step 2: Convert to fraction form
    213,248/459,301 = 459,301/x
  3. Step 3: Cross multiply
    213,248x = 459,301 × 459,301
  4. Step 4: Simplify right side
    213,248x = 210,957,408,601
  5. Step 5: Solve for x
    x = 210,957,408,601/213,248
  6. Step 6: Final answer
    x = 989,258.56

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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.