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Finding the Third Proportional to 207,404.50 and 443,240

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Solution

The third proportional to 207,404.50 and 443,240 is: 947,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,404.50 : 443,240 = 443,240 : x
  2. Step 2: Convert to fraction form
    207,404.50/443,240 = 443,240/x
  3. Step 3: Cross multiply
    207,404.50x = 443,240 × 443,240
  4. Step 4: Simplify right side
    207,404.50x = 196,461,697,600
  5. Step 5: Solve for x
    x = 196,461,697,600/207,404.50
  6. Step 6: Final answer
    x = 947,239.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.