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Finding the Third Proportional to 309,070.69 and 641,818.69

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Solution

The third proportional to 309,070.69 and 641,818.69 is: 1,332,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,070.69 : 641,818.69 = 641,818.69 : x
  2. Step 2: Convert to fraction form
    309,070.69/641,818.69 = 641,818.69/x
  3. Step 3: Cross multiply
    309,070.69x = 641,818.69 × 641,818.69
  4. Step 4: Simplify right side
    309,070.69x = 411,931,227,624.22
  5. Step 5: Solve for x
    x = 411,931,227,624.22/309,070.69
  6. Step 6: Final answer
    x = 1,332,805.87

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.