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Finding the Third Proportional to 454,466 and 702,975

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Solution

The third proportional to 454,466 and 702,975 is: 1,087,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,466 : 702,975 = 702,975 : x
  2. Step 2: Convert to fraction form
    454,466/702,975 = 702,975/x
  3. Step 3: Cross multiply
    454,466x = 702,975 × 702,975
  4. Step 4: Simplify right side
    454,466x = 494,173,850,625
  5. Step 5: Solve for x
    x = 494,173,850,625/454,466
  6. Step 6: Final answer
    x = 1,087,372.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.