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Finding the Third Proportional to 315,449.75 and 684,139

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Solution

The third proportional to 315,449.75 and 684,139 is: 1,483,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,449.75 : 684,139 = 684,139 : x
  2. Step 2: Convert to fraction form
    315,449.75/684,139 = 684,139/x
  3. Step 3: Cross multiply
    315,449.75x = 684,139 × 684,139
  4. Step 4: Simplify right side
    315,449.75x = 468,046,171,321
  5. Step 5: Solve for x
    x = 468,046,171,321/315,449.75
  6. Step 6: Final answer
    x = 1,483,742.41

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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.