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Finding the Third Proportional to 362,450 and 784,633

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Solution

The third proportional to 362,450 and 784,633 is: 1,698,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,450 : 784,633 = 784,633 : x
  2. Step 2: Convert to fraction form
    362,450/784,633 = 784,633/x
  3. Step 3: Cross multiply
    362,450x = 784,633 × 784,633
  4. Step 4: Simplify right side
    362,450x = 615,648,944,689
  5. Step 5: Solve for x
    x = 615,648,944,689/362,450
  6. Step 6: Final answer
    x = 1,698,576.20

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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.