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Finding the Third Proportional to 301,412.50 and 650,148.75

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Solution

The third proportional to 301,412.50 and 650,148.75 is: 1,402,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,412.50 : 650,148.75 = 650,148.75 : x
  2. Step 2: Convert to fraction form
    301,412.50/650,148.75 = 650,148.75/x
  3. Step 3: Cross multiply
    301,412.50x = 650,148.75 × 650,148.75
  4. Step 4: Simplify right side
    301,412.50x = 422,693,397,126.56
  5. Step 5: Solve for x
    x = 422,693,397,126.56/301,412.50
  6. Step 6: Final answer
    x = 1,402,375.14

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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.