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Finding the Third Proportional to 563,158.50 and 1,166,241.75

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Solution

The third proportional to 563,158.50 and 1,166,241.75 is: 2,415,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,158.50 : 1,166,241.75 = 1,166,241.75 : x
  2. Step 2: Convert to fraction form
    563,158.50/1,166,241.75 = 1,166,241.75/x
  3. Step 3: Cross multiply
    563,158.50x = 1,166,241.75 × 1,166,241.75
  4. Step 4: Simplify right side
    563,158.50x = 1,360,119,819,443.06
  5. Step 5: Solve for x
    x = 1,360,119,819,443.06/563,158.50
  6. Step 6: Final answer
    x = 2,415,163.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.