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Finding the Third Proportional to 207,632 and 452,783

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Solution

The third proportional to 207,632 and 452,783 is: 987,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,632 : 452,783 = 452,783 : x
  2. Step 2: Convert to fraction form
    207,632/452,783 = 452,783/x
  3. Step 3: Cross multiply
    207,632x = 452,783 × 452,783
  4. Step 4: Simplify right side
    207,632x = 205,012,445,089
  5. Step 5: Solve for x
    x = 205,012,445,089/207,632
  6. Step 6: Final answer
    x = 987,383.66

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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.