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Finding the Third Proportional to 360,097 and 784,991

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Solution

The third proportional to 360,097 and 784,991 is: 1,711,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,097 : 784,991 = 784,991 : x
  2. Step 2: Convert to fraction form
    360,097/784,991 = 784,991/x
  3. Step 3: Cross multiply
    360,097x = 784,991 × 784,991
  4. Step 4: Simplify right side
    360,097x = 616,210,870,081
  5. Step 5: Solve for x
    x = 616,210,870,081/360,097
  6. Step 6: Final answer
    x = 1,711,235.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.