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Finding the Third Proportional to 321,906 and 692,900

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Solution

The third proportional to 321,906 and 692,900 is: 1,491,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,906 : 692,900 = 692,900 : x
  2. Step 2: Convert to fraction form
    321,906/692,900 = 692,900/x
  3. Step 3: Cross multiply
    321,906x = 692,900 × 692,900
  4. Step 4: Simplify right side
    321,906x = 480,110,410,000
  5. Step 5: Solve for x
    x = 480,110,410,000/321,906
  6. Step 6: Final answer
    x = 1,491,461.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.