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Finding the Third Proportional to 435,104 and 612,736

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Solution

The third proportional to 435,104 and 612,736 is: 862,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,104 : 612,736 = 612,736 : x
  2. Step 2: Convert to fraction form
    435,104/612,736 = 612,736/x
  3. Step 3: Cross multiply
    435,104x = 612,736 × 612,736
  4. Step 4: Simplify right side
    435,104x = 375,445,405,696
  5. Step 5: Solve for x
    x = 375,445,405,696/435,104
  6. Step 6: Final answer
    x = 862,886.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.