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Finding the Third Proportional to 321,696 and 696,345

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Solution

The third proportional to 321,696 and 696,345 is: 1,507,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,696 : 696,345 = 696,345 : x
  2. Step 2: Convert to fraction form
    321,696/696,345 = 696,345/x
  3. Step 3: Cross multiply
    321,696x = 696,345 × 696,345
  4. Step 4: Simplify right side
    321,696x = 484,896,359,025
  5. Step 5: Solve for x
    x = 484,896,359,025/321,696
  6. Step 6: Final answer
    x = 1,507,312.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.