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Finding the Third Proportional to 458,672 and 674,525

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Solution

The third proportional to 458,672 and 674,525 is: 991,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,672 : 674,525 = 674,525 : x
  2. Step 2: Convert to fraction form
    458,672/674,525 = 674,525/x
  3. Step 3: Cross multiply
    458,672x = 674,525 × 674,525
  4. Step 4: Simplify right side
    458,672x = 454,983,975,625
  5. Step 5: Solve for x
    x = 454,983,975,625/458,672
  6. Step 6: Final answer
    x = 991,959.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.