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Finding the Third Proportional to 360,039 and 787,886

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Solution

The third proportional to 360,039 and 787,886 is: 1,724,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,039 : 787,886 = 787,886 : x
  2. Step 2: Convert to fraction form
    360,039/787,886 = 787,886/x
  3. Step 3: Cross multiply
    360,039x = 787,886 × 787,886
  4. Step 4: Simplify right side
    360,039x = 620,764,348,996
  5. Step 5: Solve for x
    x = 620,764,348,996/360,039
  6. Step 6: Final answer
    x = 1,724,158.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.