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Finding the Third Proportional to 368,534 and 774,202

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Solution

The third proportional to 368,534 and 774,202 is: 1,626,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,534 : 774,202 = 774,202 : x
  2. Step 2: Convert to fraction form
    368,534/774,202 = 774,202/x
  3. Step 3: Cross multiply
    368,534x = 774,202 × 774,202
  4. Step 4: Simplify right side
    368,534x = 599,388,736,804
  5. Step 5: Solve for x
    x = 599,388,736,804/368,534
  6. Step 6: Final answer
    x = 1,626,413.67

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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.