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Finding the Third Proportional to 316,104 and 684,696

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Solution

The third proportional to 316,104 and 684,696 is: 1,483,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,104 : 684,696 = 684,696 : x
  2. Step 2: Convert to fraction form
    316,104/684,696 = 684,696/x
  3. Step 3: Cross multiply
    316,104x = 684,696 × 684,696
  4. Step 4: Simplify right side
    316,104x = 468,808,612,416
  5. Step 5: Solve for x
    x = 468,808,612,416/316,104
  6. Step 6: Final answer
    x = 1,483,083.45

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