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Finding the Third Proportional to 368,394 and 775,911

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Solution

The third proportional to 368,394 and 775,911 is: 1,634,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,394 : 775,911 = 775,911 : x
  2. Step 2: Convert to fraction form
    368,394/775,911 = 775,911/x
  3. Step 3: Cross multiply
    368,394x = 775,911 × 775,911
  4. Step 4: Simplify right side
    368,394x = 602,037,879,921
  5. Step 5: Solve for x
    x = 602,037,879,921/368,394
  6. Step 6: Final answer
    x = 1,634,222.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.