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Finding the Third Proportional to 563,097.94 and 1,328,679.56

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Solution

The third proportional to 563,097.94 and 1,328,679.56 is: 3,135,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,097.94 : 1,328,679.56 = 1,328,679.56 : x
  2. Step 2: Convert to fraction form
    563,097.94/1,328,679.56 = 1,328,679.56/x
  3. Step 3: Cross multiply
    563,097.94x = 1,328,679.56 × 1,328,679.56
  4. Step 4: Simplify right side
    563,097.94x = 1,765,389,379,805.19
  5. Step 5: Solve for x
    x = 1,765,389,379,805.19/563,097.94
  6. Step 6: Final answer
    x = 3,135,137.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.