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Finding the Third Proportional to 414,401.50 and 623,140

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Solution

The third proportional to 414,401.50 and 623,140 is: 937,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,401.50 : 623,140 = 623,140 : x
  2. Step 2: Convert to fraction form
    414,401.50/623,140 = 623,140/x
  3. Step 3: Cross multiply
    414,401.50x = 623,140 × 623,140
  4. Step 4: Simplify right side
    414,401.50x = 388,303,459,600
  5. Step 5: Solve for x
    x = 388,303,459,600/414,401.50
  6. Step 6: Final answer
    x = 937,022.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.