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Finding the Third Proportional to 515,395.41 and 786,423.94

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Solution

The third proportional to 515,395.41 and 786,423.94 is: 1,199,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,395.41 : 786,423.94 = 786,423.94 : x
  2. Step 2: Convert to fraction form
    515,395.41/786,423.94 = 786,423.94/x
  3. Step 3: Cross multiply
    515,395.41x = 786,423.94 × 786,423.94
  4. Step 4: Simplify right side
    515,395.41x = 618,462,609,473.00
  5. Step 5: Solve for x
    x = 618,462,609,473.00/515,395.41
  6. Step 6: Final answer
    x = 1,199,976.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.