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Finding the Third Proportional to 383,184 and 777,294

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Solution

The third proportional to 383,184 and 777,294 is: 1,576,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,184 : 777,294 = 777,294 : x
  2. Step 2: Convert to fraction form
    383,184/777,294 = 777,294/x
  3. Step 3: Cross multiply
    383,184x = 777,294 × 777,294
  4. Step 4: Simplify right side
    383,184x = 604,185,962,436
  5. Step 5: Solve for x
    x = 604,185,962,436/383,184
  6. Step 6: Final answer
    x = 1,576,751.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.