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Finding the Third Proportional to 301,098.94 and 440,341.31

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Solution

The third proportional to 301,098.94 and 440,341.31 is: 643,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.94 : 440,341.31 = 440,341.31 : x
  2. Step 2: Convert to fraction form
    301,098.94/440,341.31 = 440,341.31/x
  3. Step 3: Cross multiply
    301,098.94x = 440,341.31 × 440,341.31
  4. Step 4: Simplify right side
    301,098.94x = 193,900,471,494.22
  5. Step 5: Solve for x
    x = 193,900,471,494.22/301,098.94
  6. Step 6: Final answer
    x = 643,975.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.