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Finding the Third Proportional to 305,592.94 and 663,775.31

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Solution

The third proportional to 305,592.94 and 663,775.31 is: 1,441,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,592.94 : 663,775.31 = 663,775.31 : x
  2. Step 2: Convert to fraction form
    305,592.94/663,775.31 = 663,775.31/x
  3. Step 3: Cross multiply
    305,592.94x = 663,775.31 × 663,775.31
  4. Step 4: Simplify right side
    305,592.94x = 440,597,665,484.47
  5. Step 5: Solve for x
    x = 440,597,665,484.47/305,592.94
  6. Step 6: Final answer
    x = 1,441,779.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.