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Finding the Third Proportional to 192,006 and 448,570

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Solution

The third proportional to 192,006 and 448,570 is: 1,047,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,006 : 448,570 = 448,570 : x
  2. Step 2: Convert to fraction form
    192,006/448,570 = 448,570/x
  3. Step 3: Cross multiply
    192,006x = 448,570 × 448,570
  4. Step 4: Simplify right side
    192,006x = 201,215,044,900
  5. Step 5: Solve for x
    x = 201,215,044,900/192,006
  6. Step 6: Final answer
    x = 1,047,962.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.