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Finding the Third Proportional to 293,999.81 and 414,030.38

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Solution

The third proportional to 293,999.81 and 414,030.38 is: 583,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,999.81 : 414,030.38 = 414,030.38 : x
  2. Step 2: Convert to fraction form
    293,999.81/414,030.38 = 414,030.38/x
  3. Step 3: Cross multiply
    293,999.81x = 414,030.38 × 414,030.38
  4. Step 4: Simplify right side
    293,999.81x = 171,421,151,422.64
  5. Step 5: Solve for x
    x = 171,421,151,422.64/293,999.81
  6. Step 6: Final answer
    x = 583,065.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.