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Finding the Third Proportional to 305,412 and 466,015.50

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Solution

The third proportional to 305,412 and 466,015.50 is: 711,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,412 : 466,015.50 = 466,015.50 : x
  2. Step 2: Convert to fraction form
    305,412/466,015.50 = 466,015.50/x
  3. Step 3: Cross multiply
    305,412x = 466,015.50 × 466,015.50
  4. Step 4: Simplify right side
    305,412x = 217,170,446,240.25
  5. Step 5: Solve for x
    x = 217,170,446,240.25/305,412
  6. Step 6: Final answer
    x = 711,073.72

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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.