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Finding the Third Proportional to 210,717 and 465,750

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Solution

The third proportional to 210,717 and 465,750 is: 1,029,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,717 : 465,750 = 465,750 : x
  2. Step 2: Convert to fraction form
    210,717/465,750 = 465,750/x
  3. Step 3: Cross multiply
    210,717x = 465,750 × 465,750
  4. Step 4: Simplify right side
    210,717x = 216,923,062,500
  5. Step 5: Solve for x
    x = 216,923,062,500/210,717
  6. Step 6: Final answer
    x = 1,029,452.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.