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Finding the Third Proportional to 301,095 and 662,074.50

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Solution

The third proportional to 301,095 and 662,074.50 is: 1,455,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,095 : 662,074.50 = 662,074.50 : x
  2. Step 2: Convert to fraction form
    301,095/662,074.50 = 662,074.50/x
  3. Step 3: Cross multiply
    301,095x = 662,074.50 × 662,074.50
  4. Step 4: Simplify right side
    301,095x = 438,342,643,550.25
  5. Step 5: Solve for x
    x = 438,342,643,550.25/301,095
  6. Step 6: Final answer
    x = 1,455,828.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.