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Finding the Third Proportional to 340,858.50 and 734,043

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Solution

The third proportional to 340,858.50 and 734,043 is: 1,580,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,858.50 : 734,043 = 734,043 : x
  2. Step 2: Convert to fraction form
    340,858.50/734,043 = 734,043/x
  3. Step 3: Cross multiply
    340,858.50x = 734,043 × 734,043
  4. Step 4: Simplify right side
    340,858.50x = 538,819,125,849
  5. Step 5: Solve for x
    x = 538,819,125,849/340,858.50
  6. Step 6: Final answer
    x = 1,580,770.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.