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Finding the Third Proportional to 292,567 and 436,936

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Solution

The third proportional to 292,567 and 436,936 is: 652,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,567 : 436,936 = 436,936 : x
  2. Step 2: Convert to fraction form
    292,567/436,936 = 436,936/x
  3. Step 3: Cross multiply
    292,567x = 436,936 × 436,936
  4. Step 4: Simplify right side
    292,567x = 190,913,068,096
  5. Step 5: Solve for x
    x = 190,913,068,096/292,567
  6. Step 6: Final answer
    x = 652,544.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.