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Finding the Third Proportional to 414,876.38 and 626,130.56

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Solution

The third proportional to 414,876.38 and 626,130.56 is: 944,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,876.38 : 626,130.56 = 626,130.56 : x
  2. Step 2: Convert to fraction form
    414,876.38/626,130.56 = 626,130.56/x
  3. Step 3: Cross multiply
    414,876.38x = 626,130.56 × 626,130.56
  4. Step 4: Simplify right side
    414,876.38x = 392,039,481,296.57
  5. Step 5: Solve for x
    x = 392,039,481,296.57/414,876.38
  6. Step 6: Final answer
    x = 944,954.94

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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.