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Finding the Third Proportional to 264,763.69 and 405,005.06

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Solution

The third proportional to 264,763.69 and 405,005.06 is: 619,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,763.69 : 405,005.06 = 405,005.06 : x
  2. Step 2: Convert to fraction form
    264,763.69/405,005.06 = 405,005.06/x
  3. Step 3: Cross multiply
    264,763.69x = 405,005.06 × 405,005.06
  4. Step 4: Simplify right side
    264,763.69x = 164,029,100,650.63
  5. Step 5: Solve for x
    x = 164,029,100,650.63/264,763.69
  6. Step 6: Final answer
    x = 619,530.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.