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Finding the Third Proportional to 207,777 and 448,359

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Solution

The third proportional to 207,777 and 448,359 is: 967,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,777 : 448,359 = 448,359 : x
  2. Step 2: Convert to fraction form
    207,777/448,359 = 448,359/x
  3. Step 3: Cross multiply
    207,777x = 448,359 × 448,359
  4. Step 4: Simplify right side
    207,777x = 201,025,792,881
  5. Step 5: Solve for x
    x = 201,025,792,881/207,777
  6. Step 6: Final answer
    x = 967,507.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.