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Finding the Third Proportional to 210,467 and 461,680

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Solution

The third proportional to 210,467 and 461,680 is: 1,012,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,467 : 461,680 = 461,680 : x
  2. Step 2: Convert to fraction form
    210,467/461,680 = 461,680/x
  3. Step 3: Cross multiply
    210,467x = 461,680 × 461,680
  4. Step 4: Simplify right side
    210,467x = 213,148,422,400
  5. Step 5: Solve for x
    x = 213,148,422,400/210,467
  6. Step 6: Final answer
    x = 1,012,740.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.