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Finding the Third Proportional to 362,794 and 784,688

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Solution

The third proportional to 362,794 and 784,688 is: 1,697,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,794 : 784,688 = 784,688 : x
  2. Step 2: Convert to fraction form
    362,794/784,688 = 784,688/x
  3. Step 3: Cross multiply
    362,794x = 784,688 × 784,688
  4. Step 4: Simplify right side
    362,794x = 615,735,257,344
  5. Step 5: Solve for x
    x = 615,735,257,344/362,794
  6. Step 6: Final answer
    x = 1,697,203.53

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Why These Related Problems?

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