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Finding the Third Proportional to 453,898 and 659,563

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Solution

The third proportional to 453,898 and 659,563 is: 958,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,898 : 659,563 = 659,563 : x
  2. Step 2: Convert to fraction form
    453,898/659,563 = 659,563/x
  3. Step 3: Cross multiply
    453,898x = 659,563 × 659,563
  4. Step 4: Simplify right side
    453,898x = 435,023,350,969
  5. Step 5: Solve for x
    x = 435,023,350,969/453,898
  6. Step 6: Final answer
    x = 958,416.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.