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Finding the Third Proportional to 454,944.75 and 713,612.63

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Solution

The third proportional to 454,944.75 and 713,612.63 is: 1,119,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,944.75 : 713,612.63 = 713,612.63 : x
  2. Step 2: Convert to fraction form
    454,944.75/713,612.63 = 713,612.63/x
  3. Step 3: Cross multiply
    454,944.75x = 713,612.63 × 713,612.63
  4. Step 4: Simplify right side
    454,944.75x = 509,242,978,559.39
  5. Step 5: Solve for x
    x = 509,242,978,559.39/454,944.75
  6. Step 6: Final answer
    x = 1,119,351.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.