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Finding the Third Proportional to 295,609.50 and 660,109.50

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Solution

The third proportional to 295,609.50 and 660,109.50 is: 1,474,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,609.50 : 660,109.50 = 660,109.50 : x
  2. Step 2: Convert to fraction form
    295,609.50/660,109.50 = 660,109.50/x
  3. Step 3: Cross multiply
    295,609.50x = 660,109.50 × 660,109.50
  4. Step 4: Simplify right side
    295,609.50x = 435,744,551,990.25
  5. Step 5: Solve for x
    x = 435,744,551,990.25/295,609.50
  6. Step 6: Final answer
    x = 1,474,054.63

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.