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Finding the Third Proportional to 207,364 and 453,032

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Solution

The third proportional to 207,364 and 453,032 is: 989,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 453,032 = 453,032 : x
  2. Step 2: Convert to fraction form
    207,364/453,032 = 453,032/x
  3. Step 3: Cross multiply
    207,364x = 453,032 × 453,032
  4. Step 4: Simplify right side
    207,364x = 205,237,993,024
  5. Step 5: Solve for x
    x = 205,237,993,024/207,364
  6. Step 6: Final answer
    x = 989,747.46

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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.