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Finding the Third Proportional to 207,967.50 and 450,900

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Solution

The third proportional to 207,967.50 and 450,900 is: 977,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967.50 : 450,900 = 450,900 : x
  2. Step 2: Convert to fraction form
    207,967.50/450,900 = 450,900/x
  3. Step 3: Cross multiply
    207,967.50x = 450,900 × 450,900
  4. Step 4: Simplify right side
    207,967.50x = 203,310,810,000
  5. Step 5: Solve for x
    x = 203,310,810,000/207,967.50
  6. Step 6: Final answer
    x = 977,608.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.