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Finding the Third Proportional to 279,343.69 and 432,453.62

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Solution

The third proportional to 279,343.69 and 432,453.62 is: 669,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,343.69 : 432,453.62 = 432,453.62 : x
  2. Step 2: Convert to fraction form
    279,343.69/432,453.62 = 432,453.62/x
  3. Step 3: Cross multiply
    279,343.69x = 432,453.62 × 432,453.62
  4. Step 4: Simplify right side
    279,343.69x = 187,016,134,397.10
  5. Step 5: Solve for x
    x = 187,016,134,397.10/279,343.69
  6. Step 6: Final answer
    x = 669,484.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.