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Finding the Third Proportional to 285,654.09 and 434,089.13

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Solution

The third proportional to 285,654.09 and 434,089.13 is: 659,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,654.09 : 434,089.13 = 434,089.13 : x
  2. Step 2: Convert to fraction form
    285,654.09/434,089.13 = 434,089.13/x
  3. Step 3: Cross multiply
    285,654.09x = 434,089.13 × 434,089.13
  4. Step 4: Simplify right side
    285,654.09x = 188,433,368,443.27
  5. Step 5: Solve for x
    x = 188,433,368,443.27/285,654.09
  6. Step 6: Final answer
    x = 659,655.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.