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Finding the Third Proportional to 305,435.81 and 472,467.94

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Solution

The third proportional to 305,435.81 and 472,467.94 is: 730,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,435.81 : 472,467.94 = 472,467.94 : x
  2. Step 2: Convert to fraction form
    305,435.81/472,467.94 = 472,467.94/x
  3. Step 3: Cross multiply
    305,435.81x = 472,467.94 × 472,467.94
  4. Step 4: Simplify right side
    305,435.81x = 223,225,951,965.50
  5. Step 5: Solve for x
    x = 223,225,951,965.50/305,435.81
  6. Step 6: Final answer
    x = 730,844.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.