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Finding the Third Proportional to 358,009 and 773,851

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Solution

The third proportional to 358,009 and 773,851 is: 1,672,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,009 : 773,851 = 773,851 : x
  2. Step 2: Convert to fraction form
    358,009/773,851 = 773,851/x
  3. Step 3: Cross multiply
    358,009x = 773,851 × 773,851
  4. Step 4: Simplify right side
    358,009x = 598,845,370,201
  5. Step 5: Solve for x
    x = 598,845,370,201/358,009
  6. Step 6: Final answer
    x = 1,672,710.38

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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.