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Finding the Third Proportional to 436,094 and 656,301

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Solution

The third proportional to 436,094 and 656,301 is: 987,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,094 : 656,301 = 656,301 : x
  2. Step 2: Convert to fraction form
    436,094/656,301 = 656,301/x
  3. Step 3: Cross multiply
    436,094x = 656,301 × 656,301
  4. Step 4: Simplify right side
    436,094x = 430,731,002,601
  5. Step 5: Solve for x
    x = 430,731,002,601/436,094
  6. Step 6: Final answer
    x = 987,702.20

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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.