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Finding the Third Proportional to 333,274.50 and 678,942

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Solution

The third proportional to 333,274.50 and 678,942 is: 1,383,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,274.50 : 678,942 = 678,942 : x
  2. Step 2: Convert to fraction form
    333,274.50/678,942 = 678,942/x
  3. Step 3: Cross multiply
    333,274.50x = 678,942 × 678,942
  4. Step 4: Simplify right side
    333,274.50x = 460,962,239,364
  5. Step 5: Solve for x
    x = 460,962,239,364/333,274.50
  6. Step 6: Final answer
    x = 1,383,130.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.