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Finding the Third Proportional to 193,580 and 417,778

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Solution

The third proportional to 193,580 and 417,778 is: 901,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,580 : 417,778 = 417,778 : x
  2. Step 2: Convert to fraction form
    193,580/417,778 = 417,778/x
  3. Step 3: Cross multiply
    193,580x = 417,778 × 417,778
  4. Step 4: Simplify right side
    193,580x = 174,538,457,284
  5. Step 5: Solve for x
    x = 174,538,457,284/193,580
  6. Step 6: Final answer
    x = 901,634.76

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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.