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Finding the Third Proportional to 262,409.63 and 417,747.38

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Solution

The third proportional to 262,409.63 and 417,747.38 is: 665,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,409.63 : 417,747.38 = 417,747.38 : x
  2. Step 2: Convert to fraction form
    262,409.63/417,747.38 = 417,747.38/x
  3. Step 3: Cross multiply
    262,409.63x = 417,747.38 × 417,747.38
  4. Step 4: Simplify right side
    262,409.63x = 174,512,869,319.39
  5. Step 5: Solve for x
    x = 174,512,869,319.39/262,409.63
  6. Step 6: Final answer
    x = 665,039.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.