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Finding the Third Proportional to 305,200.41 and 464,908.36

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Solution

The third proportional to 305,200.41 and 464,908.36 is: 708,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,200.41 : 464,908.36 = 464,908.36 : x
  2. Step 2: Convert to fraction form
    305,200.41/464,908.36 = 464,908.36/x
  3. Step 3: Cross multiply
    305,200.41x = 464,908.36 × 464,908.36
  4. Step 4: Simplify right side
    305,200.41x = 216,139,782,616.75
  5. Step 5: Solve for x
    x = 216,139,782,616.75/305,200.41
  6. Step 6: Final answer
    x = 708,189.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.