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Finding the Third Proportional to 550,172.25 and 1,166,582.25

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Solution

The third proportional to 550,172.25 and 1,166,582.25 is: 2,473,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,172.25 : 1,166,582.25 = 1,166,582.25 : x
  2. Step 2: Convert to fraction form
    550,172.25/1,166,582.25 = 1,166,582.25/x
  3. Step 3: Cross multiply
    550,172.25x = 1,166,582.25 × 1,166,582.25
  4. Step 4: Simplify right side
    550,172.25x = 1,360,914,146,015.06
  5. Step 5: Solve for x
    x = 1,360,914,146,015.06/550,172.25
  6. Step 6: Final answer
    x = 2,473,614.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.