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Finding the Third Proportional to 435,235.50 and 945,184.50

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Solution

The third proportional to 435,235.50 and 945,184.50 is: 2,052,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,235.50 : 945,184.50 = 945,184.50 : x
  2. Step 2: Convert to fraction form
    435,235.50/945,184.50 = 945,184.50/x
  3. Step 3: Cross multiply
    435,235.50x = 945,184.50 × 945,184.50
  4. Step 4: Simplify right side
    435,235.50x = 893,373,739,040.25
  5. Step 5: Solve for x
    x = 893,373,739,040.25/435,235.50
  6. Step 6: Final answer
    x = 2,052,621.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.