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Finding the Third Proportional to 324,114.80 and 700,160.67

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Solution

The third proportional to 324,114.80 and 700,160.67 is: 1,512,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,114.80 : 700,160.67 = 700,160.67 : x
  2. Step 2: Convert to fraction form
    324,114.80/700,160.67 = 700,160.67/x
  3. Step 3: Cross multiply
    324,114.80x = 700,160.67 × 700,160.67
  4. Step 4: Simplify right side
    324,114.80x = 490,224,966,440.45
  5. Step 5: Solve for x
    x = 490,224,966,440.45/324,114.80
  6. Step 6: Final answer
    x = 1,512,504.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.