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Finding the Third Proportional to 321,567 and 685,850.25

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Solution

The third proportional to 321,567 and 685,850.25 is: 1,462,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,567 : 685,850.25 = 685,850.25 : x
  2. Step 2: Convert to fraction form
    321,567/685,850.25 = 685,850.25/x
  3. Step 3: Cross multiply
    321,567x = 685,850.25 × 685,850.25
  4. Step 4: Simplify right side
    321,567x = 470,390,565,425.06
  5. Step 5: Solve for x
    x = 470,390,565,425.06/321,567
  6. Step 6: Final answer
    x = 1,462,807.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.