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Finding the Third Proportional to 466,956 and 713,990

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Solution

The third proportional to 466,956 and 713,990 is: 1,091,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,956 : 713,990 = 713,990 : x
  2. Step 2: Convert to fraction form
    466,956/713,990 = 713,990/x
  3. Step 3: Cross multiply
    466,956x = 713,990 × 713,990
  4. Step 4: Simplify right side
    466,956x = 509,781,720,100
  5. Step 5: Solve for x
    x = 509,781,720,100/466,956
  6. Step 6: Final answer
    x = 1,091,712.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.