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Finding the Third Proportional to 456,171 and 657,097

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Solution

The third proportional to 456,171 and 657,097 is: 946,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,171 : 657,097 = 657,097 : x
  2. Step 2: Convert to fraction form
    456,171/657,097 = 657,097/x
  3. Step 3: Cross multiply
    456,171x = 657,097 × 657,097
  4. Step 4: Simplify right side
    456,171x = 431,776,467,409
  5. Step 5: Solve for x
    x = 431,776,467,409/456,171
  6. Step 6: Final answer
    x = 946,523.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.