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Finding the Third Proportional to 254,754 and 534,294

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Solution

The third proportional to 254,754 and 534,294 is: 1,120,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,754 : 534,294 = 534,294 : x
  2. Step 2: Convert to fraction form
    254,754/534,294 = 534,294/x
  3. Step 3: Cross multiply
    254,754x = 534,294 × 534,294
  4. Step 4: Simplify right side
    254,754x = 285,470,078,436
  5. Step 5: Solve for x
    x = 285,470,078,436/254,754
  6. Step 6: Final answer
    x = 1,120,571.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.