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Finding the Third Proportional to 312,822 and 660,109.50

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Solution

The third proportional to 312,822 and 660,109.50 is: 1,392,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,822 : 660,109.50 = 660,109.50 : x
  2. Step 2: Convert to fraction form
    312,822/660,109.50 = 660,109.50/x
  3. Step 3: Cross multiply
    312,822x = 660,109.50 × 660,109.50
  4. Step 4: Simplify right side
    312,822x = 435,744,551,990.25
  5. Step 5: Solve for x
    x = 435,744,551,990.25/312,822
  6. Step 6: Final answer
    x = 1,392,947.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.