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Finding the Third Proportional to 436,474 and 656,334

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Solution

The third proportional to 436,474 and 656,334 is: 986,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,474 : 656,334 = 656,334 : x
  2. Step 2: Convert to fraction form
    436,474/656,334 = 656,334/x
  3. Step 3: Cross multiply
    436,474x = 656,334 × 656,334
  4. Step 4: Simplify right side
    436,474x = 430,774,319,556
  5. Step 5: Solve for x
    x = 430,774,319,556/436,474
  6. Step 6: Final answer
    x = 986,941.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.