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Finding the Third Proportional to 207,776 and 451,984

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Solution

The third proportional to 207,776 and 451,984 is: 983,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,776 : 451,984 = 451,984 : x
  2. Step 2: Convert to fraction form
    207,776/451,984 = 451,984/x
  3. Step 3: Cross multiply
    207,776x = 451,984 × 451,984
  4. Step 4: Simplify right side
    207,776x = 204,289,536,256
  5. Step 5: Solve for x
    x = 204,289,536,256/207,776
  6. Step 6: Final answer
    x = 983,220.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.