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Finding the Third Proportional to 356,504 and 774,488

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Solution

The third proportional to 356,504 and 774,488 is: 1,682,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,504 : 774,488 = 774,488 : x
  2. Step 2: Convert to fraction form
    356,504/774,488 = 774,488/x
  3. Step 3: Cross multiply
    356,504x = 774,488 × 774,488
  4. Step 4: Simplify right side
    356,504x = 599,831,662,144
  5. Step 5: Solve for x
    x = 599,831,662,144/356,504
  6. Step 6: Final answer
    x = 1,682,538.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.