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Finding the Third Proportional to 236,412.42 and 513,010.97

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Solution

The third proportional to 236,412.42 and 513,010.97 is: 1,113,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,412.42 : 513,010.97 = 513,010.97 : x
  2. Step 2: Convert to fraction form
    236,412.42/513,010.97 = 513,010.97/x
  3. Step 3: Cross multiply
    236,412.42x = 513,010.97 × 513,010.97
  4. Step 4: Simplify right side
    236,412.42x = 263,180,254,057.81
  5. Step 5: Solve for x
    x = 263,180,254,057.81/236,412.42
  6. Step 6: Final answer
    x = 1,113,225.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.