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Finding the Third Proportional to 305,216 and 466,896

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Solution

The third proportional to 305,216 and 466,896 is: 714,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,216 : 466,896 = 466,896 : x
  2. Step 2: Convert to fraction form
    305,216/466,896 = 466,896/x
  3. Step 3: Cross multiply
    305,216x = 466,896 × 466,896
  4. Step 4: Simplify right side
    305,216x = 217,991,874,816
  5. Step 5: Solve for x
    x = 217,991,874,816/305,216
  6. Step 6: Final answer
    x = 714,221.65

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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.