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Finding the Third Proportional to 289,046,832 and 412,046,928

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Solution

The third proportional to 289,046,832 and 412,046,928 is: 587,388,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,046,832 : 412,046,928 = 412,046,928 : x
  2. Step 2: Convert to fraction form
    289,046,832/412,046,928 = 412,046,928/x
  3. Step 3: Cross multiply
    289,046,832x = 412,046,928 × 412,046,928
  4. Step 4: Simplify right side
    289,046,832x = 169,782,670,874,237,184
  5. Step 5: Solve for x
    x = 169,782,670,874,237,184/289,046,832
  6. Step 6: Final answer
    x = 587,388,104.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.