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Finding the Third Proportional to 434,277 and 671,100.75

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Solution

The third proportional to 434,277 and 671,100.75 is: 1,037,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,277 : 671,100.75 = 671,100.75 : x
  2. Step 2: Convert to fraction form
    434,277/671,100.75 = 671,100.75/x
  3. Step 3: Cross multiply
    434,277x = 671,100.75 × 671,100.75
  4. Step 4: Simplify right side
    434,277x = 450,376,216,650.56
  5. Step 5: Solve for x
    x = 450,376,216,650.56/434,277
  6. Step 6: Final answer
    x = 1,037,071.31

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