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Finding the Third Proportional to 301,412.38 and 650,150.06

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Solution

The third proportional to 301,412.38 and 650,150.06 is: 1,402,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,412.38 : 650,150.06 = 650,150.06 : x
  2. Step 2: Convert to fraction form
    301,412.38/650,150.06 = 650,150.06/x
  3. Step 3: Cross multiply
    301,412.38x = 650,150.06 × 650,150.06
  4. Step 4: Simplify right side
    301,412.38x = 422,695,103,768.75
  5. Step 5: Solve for x
    x = 422,695,103,768.75/301,412.38
  6. Step 6: Final answer
    x = 1,402,381.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.