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Finding the Third Proportional to 312,697 and 737,426.50

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Solution

The third proportional to 312,697 and 737,426.50 is: 1,739,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,697 : 737,426.50 = 737,426.50 : x
  2. Step 2: Convert to fraction form
    312,697/737,426.50 = 737,426.50/x
  3. Step 3: Cross multiply
    312,697x = 737,426.50 × 737,426.50
  4. Step 4: Simplify right side
    312,697x = 543,797,842,902.25
  5. Step 5: Solve for x
    x = 543,797,842,902.25/312,697
  6. Step 6: Final answer
    x = 1,739,056.80

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.