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Finding the Third Proportional to 433,971 and 657,077

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Solution

The third proportional to 433,971 and 657,077 is: 994,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,971 : 657,077 = 657,077 : x
  2. Step 2: Convert to fraction form
    433,971/657,077 = 657,077/x
  3. Step 3: Cross multiply
    433,971x = 657,077 × 657,077
  4. Step 4: Simplify right side
    433,971x = 431,750,183,929
  5. Step 5: Solve for x
    x = 431,750,183,929/433,971
  6. Step 6: Final answer
    x = 994,882.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.