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Finding the Third Proportional to 294,527.25 and 636,052.50

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Solution

The third proportional to 294,527.25 and 636,052.50 is: 1,373,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,527.25 : 636,052.50 = 636,052.50 : x
  2. Step 2: Convert to fraction form
    294,527.25/636,052.50 = 636,052.50/x
  3. Step 3: Cross multiply
    294,527.25x = 636,052.50 × 636,052.50
  4. Step 4: Simplify right side
    294,527.25x = 404,562,782,756.25
  5. Step 5: Solve for x
    x = 404,562,782,756.25/294,527.25
  6. Step 6: Final answer
    x = 1,373,600.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.