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Finding the Third Proportional to 305,419 and 466,026

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Solution

The third proportional to 305,419 and 466,026 is: 711,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,419 : 466,026 = 466,026 : x
  2. Step 2: Convert to fraction form
    305,419/466,026 = 466,026/x
  3. Step 3: Cross multiply
    305,419x = 466,026 × 466,026
  4. Step 4: Simplify right side
    305,419x = 217,180,232,676
  5. Step 5: Solve for x
    x = 217,180,232,676/305,419
  6. Step 6: Final answer
    x = 711,089.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.