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Finding the Third Proportional to 329,362,144 and 484,463,184

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Solution

The third proportional to 329,362,144 and 484,463,184 is: 712,603,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,362,144 : 484,463,184 = 484,463,184 : x
  2. Step 2: Convert to fraction form
    329,362,144/484,463,184 = 484,463,184/x
  3. Step 3: Cross multiply
    329,362,144x = 484,463,184 × 484,463,184
  4. Step 4: Simplify right side
    329,362,144x = 234,704,576,651,417,856
  5. Step 5: Solve for x
    x = 234,704,576,651,417,856/329,362,144
  6. Step 6: Final answer
    x = 712,603,378.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.