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Finding the Third Proportional to 469,967.06 and 685,146.09

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Solution

The third proportional to 469,967.06 and 685,146.09 is: 998,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,967.06 : 685,146.09 = 685,146.09 : x
  2. Step 2: Convert to fraction form
    469,967.06/685,146.09 = 685,146.09/x
  3. Step 3: Cross multiply
    469,967.06x = 685,146.09 × 685,146.09
  4. Step 4: Simplify right side
    469,967.06x = 469,425,169,780.88
  5. Step 5: Solve for x
    x = 469,425,169,780.88/469,967.06
  6. Step 6: Final answer
    x = 998,846.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.