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Finding the Third Proportional to 321,485.50 and 687,260

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Solution

The third proportional to 321,485.50 and 687,260 is: 1,469,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,485.50 : 687,260 = 687,260 : x
  2. Step 2: Convert to fraction form
    321,485.50/687,260 = 687,260/x
  3. Step 3: Cross multiply
    321,485.50x = 687,260 × 687,260
  4. Step 4: Simplify right side
    321,485.50x = 472,326,307,600
  5. Step 5: Solve for x
    x = 472,326,307,600/321,485.50
  6. Step 6: Final answer
    x = 1,469,199.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.