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Finding the Third Proportional to 414,015.75 and 607,389.75

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Solution

The third proportional to 414,015.75 and 607,389.75 is: 891,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,015.75 : 607,389.75 = 607,389.75 : x
  2. Step 2: Convert to fraction form
    414,015.75/607,389.75 = 607,389.75/x
  3. Step 3: Cross multiply
    414,015.75x = 607,389.75 × 607,389.75
  4. Step 4: Simplify right side
    414,015.75x = 368,922,308,405.06
  5. Step 5: Solve for x
    x = 368,922,308,405.06/414,015.75
  6. Step 6: Final answer
    x = 891,082.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.