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Finding the Third Proportional to 362,786 and 784,672

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Solution

The third proportional to 362,786 and 784,672 is: 1,697,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,786 : 784,672 = 784,672 : x
  2. Step 2: Convert to fraction form
    362,786/784,672 = 784,672/x
  3. Step 3: Cross multiply
    362,786x = 784,672 × 784,672
  4. Step 4: Simplify right side
    362,786x = 615,710,147,584
  5. Step 5: Solve for x
    x = 615,710,147,584/362,786
  6. Step 6: Final answer
    x = 1,697,171.74

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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.