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Finding the Third Proportional to 243,295.21 and 533,952.63

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Solution

The third proportional to 243,295.21 and 533,952.63 is: 1,171,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,295.21 : 533,952.63 = 533,952.63 : x
  2. Step 2: Convert to fraction form
    243,295.21/533,952.63 = 533,952.63/x
  3. Step 3: Cross multiply
    243,295.21x = 533,952.63 × 533,952.63
  4. Step 4: Simplify right side
    243,295.21x = 285,105,414,087.40
  5. Step 5: Solve for x
    x = 285,105,414,087.40/243,295.21
  6. Step 6: Final answer
    x = 1,171,849.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.