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Finding the Third Proportional to 458,956 and 701,580

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Solution

The third proportional to 458,956 and 701,580 is: 1,072,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,956 : 701,580 = 701,580 : x
  2. Step 2: Convert to fraction form
    458,956/701,580 = 701,580/x
  3. Step 3: Cross multiply
    458,956x = 701,580 × 701,580
  4. Step 4: Simplify right side
    458,956x = 492,214,496,400
  5. Step 5: Solve for x
    x = 492,214,496,400/458,956
  6. Step 6: Final answer
    x = 1,072,465.54

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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.