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Finding the Third Proportional to 702,166.50 and 1,512,803.25

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Solution

The third proportional to 702,166.50 and 1,512,803.25 is: 3,259,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,166.50 : 1,512,803.25 = 1,512,803.25 : x
  2. Step 2: Convert to fraction form
    702,166.50/1,512,803.25 = 1,512,803.25/x
  3. Step 3: Cross multiply
    702,166.50x = 1,512,803.25 × 1,512,803.25
  4. Step 4: Simplify right side
    702,166.50x = 2,288,573,673,210.56
  5. Step 5: Solve for x
    x = 2,288,573,673,210.56/702,166.50
  6. Step 6: Final answer
    x = 3,259,303.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.