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Finding the Third Proportional to 375,285 and 765,852

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Solution

The third proportional to 375,285 and 765,852 is: 1,562,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,285 : 765,852 = 765,852 : x
  2. Step 2: Convert to fraction form
    375,285/765,852 = 765,852/x
  3. Step 3: Cross multiply
    375,285x = 765,852 × 765,852
  4. Step 4: Simplify right side
    375,285x = 586,529,285,904
  5. Step 5: Solve for x
    x = 586,529,285,904/375,285
  6. Step 6: Final answer
    x = 1,562,890.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.