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Finding the Third Proportional to 187,297 and 412,768

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Solution

The third proportional to 187,297 and 412,768 is: 909,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,297 : 412,768 = 412,768 : x
  2. Step 2: Convert to fraction form
    187,297/412,768 = 412,768/x
  3. Step 3: Cross multiply
    187,297x = 412,768 × 412,768
  4. Step 4: Simplify right side
    187,297x = 170,377,421,824
  5. Step 5: Solve for x
    x = 170,377,421,824/187,297
  6. Step 6: Final answer
    x = 909,664.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.