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Finding the Third Proportional to 193,581 and 417,780

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Solution

The third proportional to 193,581 and 417,780 is: 901,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,581 : 417,780 = 417,780 : x
  2. Step 2: Convert to fraction form
    193,581/417,780 = 417,780/x
  3. Step 3: Cross multiply
    193,581x = 417,780 × 417,780
  4. Step 4: Simplify right side
    193,581x = 174,540,128,400
  5. Step 5: Solve for x
    x = 174,540,128,400/193,581
  6. Step 6: Final answer
    x = 901,638.74

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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.