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Finding the Third Proportional to 362,442 and 784,617

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Solution

The third proportional to 362,442 and 784,617 is: 1,698,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,442 : 784,617 = 784,617 : x
  2. Step 2: Convert to fraction form
    362,442/784,617 = 784,617/x
  3. Step 3: Cross multiply
    362,442x = 784,617 × 784,617
  4. Step 4: Simplify right side
    362,442x = 615,623,836,689
  5. Step 5: Solve for x
    x = 615,623,836,689/362,442
  6. Step 6: Final answer
    x = 1,698,544.42

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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.