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Finding the Third Proportional to 414,050.50 and 623,148.50

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Solution

The third proportional to 414,050.50 and 623,148.50 is: 937,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,050.50 : 623,148.50 = 623,148.50 : x
  2. Step 2: Convert to fraction form
    414,050.50/623,148.50 = 623,148.50/x
  3. Step 3: Cross multiply
    414,050.50x = 623,148.50 × 623,148.50
  4. Step 4: Simplify right side
    414,050.50x = 388,314,053,052.25
  5. Step 5: Solve for x
    x = 388,314,053,052.25/414,050.50
  6. Step 6: Final answer
    x = 937,842.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.