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Finding the Third Proportional to 563,172.75 and 1,166,269.50

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Solution

The third proportional to 563,172.75 and 1,166,269.50 is: 2,415,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,172.75 : 1,166,269.50 = 1,166,269.50 : x
  2. Step 2: Convert to fraction form
    563,172.75/1,166,269.50 = 1,166,269.50/x
  3. Step 3: Cross multiply
    563,172.75x = 1,166,269.50 × 1,166,269.50
  4. Step 4: Simplify right side
    563,172.75x = 1,360,184,546,630.25
  5. Step 5: Solve for x
    x = 1,360,184,546,630.25/563,172.75
  6. Step 6: Final answer
    x = 2,415,217.26

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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.