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Finding the Third Proportional to 352,780.03 and 774,074.81

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Solution

The third proportional to 352,780.03 and 774,074.81 is: 1,698,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,780.03 : 774,074.81 = 774,074.81 : x
  2. Step 2: Convert to fraction form
    352,780.03/774,074.81 = 774,074.81/x
  3. Step 3: Cross multiply
    352,780.03x = 774,074.81 × 774,074.81
  4. Step 4: Simplify right side
    352,780.03x = 599,191,815,346.91
  5. Step 5: Solve for x
    x = 599,191,815,346.91/352,780.03
  6. Step 6: Final answer
    x = 1,698,485.63

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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.