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Finding the Third Proportional to 342,333.84 and 738,795.94

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Solution

The third proportional to 342,333.84 and 738,795.94 is: 1,594,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,333.84 : 738,795.94 = 738,795.94 : x
  2. Step 2: Convert to fraction form
    342,333.84/738,795.94 = 738,795.94/x
  3. Step 3: Cross multiply
    342,333.84x = 738,795.94 × 738,795.94
  4. Step 4: Simplify right side
    342,333.84x = 545,819,437,266.50
  5. Step 5: Solve for x
    x = 545,819,437,266.50/342,333.84
  6. Step 6: Final answer
    x = 1,594,406.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.