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Finding the Third Proportional to 321,434 and 700,013

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Solution

The third proportional to 321,434 and 700,013 is: 1,524,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,434 : 700,013 = 700,013 : x
  2. Step 2: Convert to fraction form
    321,434/700,013 = 700,013/x
  3. Step 3: Cross multiply
    321,434x = 700,013 × 700,013
  4. Step 4: Simplify right side
    321,434x = 490,018,200,169
  5. Step 5: Solve for x
    x = 490,018,200,169/321,434
  6. Step 6: Final answer
    x = 1,524,475.32

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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.