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Finding the Third Proportional to 305,420 and 466,028

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Solution

The third proportional to 305,420 and 466,028 is: 711,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,420 : 466,028 = 466,028 : x
  2. Step 2: Convert to fraction form
    305,420/466,028 = 466,028/x
  3. Step 3: Cross multiply
    305,420x = 466,028 × 466,028
  4. Step 4: Simplify right side
    305,420x = 217,182,096,784
  5. Step 5: Solve for x
    x = 217,182,096,784/305,420
  6. Step 6: Final answer
    x = 711,093.24

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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.