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Finding the Third Proportional to 456,173 and 657,100

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Solution

The third proportional to 456,173 and 657,100 is: 946,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,173 : 657,100 = 657,100 : x
  2. Step 2: Convert to fraction form
    456,173/657,100 = 657,100/x
  3. Step 3: Cross multiply
    456,173x = 657,100 × 657,100
  4. Step 4: Simplify right side
    456,173x = 431,780,410,000
  5. Step 5: Solve for x
    x = 431,780,410,000/456,173
  6. Step 6: Final answer
    x = 946,527.76

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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.