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Finding the Third Proportional to 317,224,860 and 484,954,164

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Solution

The third proportional to 317,224,860 and 484,954,164 is: 741,368,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,224,860 : 484,954,164 = 484,954,164 : x
  2. Step 2: Convert to fraction form
    317,224,860/484,954,164 = 484,954,164/x
  3. Step 3: Cross multiply
    317,224,860x = 484,954,164 × 484,954,164
  4. Step 4: Simplify right side
    317,224,860x = 235,180,541,180,938,880
  5. Step 5: Solve for x
    x = 235,180,541,180,938,880/317,224,860
  6. Step 6: Final answer
    x = 741,368,571.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.