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Finding the Third Proportional to 321,453 and 700,053

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Solution

The third proportional to 321,453 and 700,053 is: 1,524,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,453 : 700,053 = 700,053 : x
  2. Step 2: Convert to fraction form
    321,453/700,053 = 700,053/x
  3. Step 3: Cross multiply
    321,453x = 700,053 × 700,053
  4. Step 4: Simplify right side
    321,453x = 490,074,202,809
  5. Step 5: Solve for x
    x = 490,074,202,809/321,453
  6. Step 6: Final answer
    x = 1,524,559.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.