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Finding the Third Proportional to 316,097 and 684,682

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Solution

The third proportional to 316,097 and 684,682 is: 1,483,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,097 : 684,682 = 684,682 : x
  2. Step 2: Convert to fraction form
    316,097/684,682 = 684,682/x
  3. Step 3: Cross multiply
    316,097x = 684,682 × 684,682
  4. Step 4: Simplify right side
    316,097x = 468,789,441,124
  5. Step 5: Solve for x
    x = 468,789,441,124/316,097
  6. Step 6: Final answer
    x = 1,483,055.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.