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Finding the Third Proportional to 414,878.25 and 626,133

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Solution

The third proportional to 414,878.25 and 626,133 is: 944,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,878.25 : 626,133 = 626,133 : x
  2. Step 2: Convert to fraction form
    414,878.25/626,133 = 626,133/x
  3. Step 3: Cross multiply
    414,878.25x = 626,133 × 626,133
  4. Step 4: Simplify right side
    414,878.25x = 392,042,533,689
  5. Step 5: Solve for x
    x = 392,042,533,689/414,878.25
  6. Step 6: Final answer
    x = 944,958.03

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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.