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Finding the Third Proportional to 368,525.50 and 774,203

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Solution

The third proportional to 368,525.50 and 774,203 is: 1,626,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,525.50 : 774,203 = 774,203 : x
  2. Step 2: Convert to fraction form
    368,525.50/774,203 = 774,203/x
  3. Step 3: Cross multiply
    368,525.50x = 774,203 × 774,203
  4. Step 4: Simplify right side
    368,525.50x = 599,390,285,209
  5. Step 5: Solve for x
    x = 599,390,285,209/368,525.50
  6. Step 6: Final answer
    x = 1,626,455.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.