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Finding the Third Proportional to 254,984 and 373,452

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Solution

The third proportional to 254,984 and 373,452 is: 546,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,984 : 373,452 = 373,452 : x
  2. Step 2: Convert to fraction form
    254,984/373,452 = 373,452/x
  3. Step 3: Cross multiply
    254,984x = 373,452 × 373,452
  4. Step 4: Simplify right side
    254,984x = 139,466,396,304
  5. Step 5: Solve for x
    x = 139,466,396,304/254,984
  6. Step 6: Final answer
    x = 546,961.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.