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Finding the Third Proportional to 315,447 and 684,134

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Solution

The third proportional to 315,447 and 684,134 is: 1,483,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,447 : 684,134 = 684,134 : x
  2. Step 2: Convert to fraction form
    315,447/684,134 = 684,134/x
  3. Step 3: Cross multiply
    315,447x = 684,134 × 684,134
  4. Step 4: Simplify right side
    315,447x = 468,039,329,956
  5. Step 5: Solve for x
    x = 468,039,329,956/315,447
  6. Step 6: Final answer
    x = 1,483,733.65

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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.