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Finding the Third Proportional to 321,496.50 and 700,140

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Solution

The third proportional to 321,496.50 and 700,140 is: 1,524,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,496.50 : 700,140 = 700,140 : x
  2. Step 2: Convert to fraction form
    321,496.50/700,140 = 700,140/x
  3. Step 3: Cross multiply
    321,496.50x = 700,140 × 700,140
  4. Step 4: Simplify right side
    321,496.50x = 490,196,019,600
  5. Step 5: Solve for x
    x = 490,196,019,600/321,496.50
  6. Step 6: Final answer
    x = 1,524,732.06

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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.