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Finding the Third Proportional to 368,536.50 and 776,439

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Solution

The third proportional to 368,536.50 and 776,439 is: 1,635,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,536.50 : 776,439 = 776,439 : x
  2. Step 2: Convert to fraction form
    368,536.50/776,439 = 776,439/x
  3. Step 3: Cross multiply
    368,536.50x = 776,439 × 776,439
  4. Step 4: Simplify right side
    368,536.50x = 602,857,520,721
  5. Step 5: Solve for x
    x = 602,857,520,721/368,536.50
  6. Step 6: Final answer
    x = 1,635,814.96

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.