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Finding the Third Proportional to 508,406.63 and 1,084,367.25

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Solution

The third proportional to 508,406.63 and 1,084,367.25 is: 2,312,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,406.63 : 1,084,367.25 = 1,084,367.25 : x
  2. Step 2: Convert to fraction form
    508,406.63/1,084,367.25 = 1,084,367.25/x
  3. Step 3: Cross multiply
    508,406.63x = 1,084,367.25 × 1,084,367.25
  4. Step 4: Simplify right side
    508,406.63x = 1,175,852,332,872.56
  5. Step 5: Solve for x
    x = 1,175,852,332,872.56/508,406.63
  6. Step 6: Final answer
    x = 2,312,818.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.