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Finding the Third Proportional to 236,417.63 and 513,023.63

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Solution

The third proportional to 236,417.63 and 513,023.63 is: 1,113,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,417.63 : 513,023.63 = 513,023.63 : x
  2. Step 2: Convert to fraction form
    236,417.63/513,023.63 = 513,023.63/x
  3. Step 3: Cross multiply
    236,417.63x = 513,023.63 × 513,023.63
  4. Step 4: Simplify right side
    236,417.63x = 263,193,239,808.14
  5. Step 5: Solve for x
    x = 263,193,239,808.14/236,417.63
  6. Step 6: Final answer
    x = 1,113,255.58

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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.