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Finding the Third Proportional to 329,362,160 and 484,463,208

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Solution

The third proportional to 329,362,160 and 484,463,208 is: 712,603,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,362,160 : 484,463,208 = 484,463,208 : x
  2. Step 2: Convert to fraction form
    329,362,160/484,463,208 = 484,463,208/x
  3. Step 3: Cross multiply
    329,362,160x = 484,463,208 × 484,463,208
  4. Step 4: Simplify right side
    329,362,160x = 234,704,599,905,651,264
  5. Step 5: Solve for x
    x = 234,704,599,905,651,264/329,362,160
  6. Step 6: Final answer
    x = 712,603,414.75

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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.