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Finding the Third Proportional to 300,804 and 668,848.50

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Solution

The third proportional to 300,804 and 668,848.50 is: 1,487,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,804 : 668,848.50 = 668,848.50 : x
  2. Step 2: Convert to fraction form
    300,804/668,848.50 = 668,848.50/x
  3. Step 3: Cross multiply
    300,804x = 668,848.50 × 668,848.50
  4. Step 4: Simplify right side
    300,804x = 447,358,315,952.25
  5. Step 5: Solve for x
    x = 447,358,315,952.25/300,804
  6. Step 6: Final answer
    x = 1,487,208.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.