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Finding the Third Proportional to 305,226 and 466,914

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Solution

The third proportional to 305,226 and 466,914 is: 714,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,226 : 466,914 = 466,914 : x
  2. Step 2: Convert to fraction form
    305,226/466,914 = 466,914/x
  3. Step 3: Cross multiply
    305,226x = 466,914 × 466,914
  4. Step 4: Simplify right side
    305,226x = 218,008,683,396
  5. Step 5: Solve for x
    x = 218,008,683,396/305,226
  6. Step 6: Final answer
    x = 714,253.32

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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.