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Finding the Third Proportional to 305,674.50 and 670,398

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Solution

The third proportional to 305,674.50 and 670,398 is: 1,470,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,674.50 : 670,398 = 670,398 : x
  2. Step 2: Convert to fraction form
    305,674.50/670,398 = 670,398/x
  3. Step 3: Cross multiply
    305,674.50x = 670,398 × 670,398
  4. Step 4: Simplify right side
    305,674.50x = 449,433,478,404
  5. Step 5: Solve for x
    x = 449,433,478,404/305,674.50
  6. Step 6: Final answer
    x = 1,470,300.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.