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Finding the Third Proportional to 305,452 and 671,124

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Solution

The third proportional to 305,452 and 671,124 is: 1,474,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,452 : 671,124 = 671,124 : x
  2. Step 2: Convert to fraction form
    305,452/671,124 = 671,124/x
  3. Step 3: Cross multiply
    305,452x = 671,124 × 671,124
  4. Step 4: Simplify right side
    305,452x = 450,407,423,376
  5. Step 5: Solve for x
    x = 450,407,423,376/305,452
  6. Step 6: Final answer
    x = 1,474,560.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.