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Finding the Third Proportional to 656,131 and 948,232

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Solution

The third proportional to 656,131 and 948,232 is: 1,370,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,131 : 948,232 = 948,232 : x
  2. Step 2: Convert to fraction form
    656,131/948,232 = 948,232/x
  3. Step 3: Cross multiply
    656,131x = 948,232 × 948,232
  4. Step 4: Simplify right side
    656,131x = 899,143,925,824
  5. Step 5: Solve for x
    x = 899,143,925,824/656,131
  6. Step 6: Final answer
    x = 1,370,372.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.