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Finding the Third Proportional to 305,262 and 663,043.50

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Solution

The third proportional to 305,262 and 663,043.50 is: 1,440,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,262 : 663,043.50 = 663,043.50 : x
  2. Step 2: Convert to fraction form
    305,262/663,043.50 = 663,043.50/x
  3. Step 3: Cross multiply
    305,262x = 663,043.50 × 663,043.50
  4. Step 4: Simplify right side
    305,262x = 439,626,682,892.25
  5. Step 5: Solve for x
    x = 439,626,682,892.25/305,262
  6. Step 6: Final answer
    x = 1,440,161.84

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