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Finding the Third Proportional to 329,728.50 and 706,113

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Solution

The third proportional to 329,728.50 and 706,113 is: 1,512,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,728.50 : 706,113 = 706,113 : x
  2. Step 2: Convert to fraction form
    329,728.50/706,113 = 706,113/x
  3. Step 3: Cross multiply
    329,728.50x = 706,113 × 706,113
  4. Step 4: Simplify right side
    329,728.50x = 498,595,568,769
  5. Step 5: Solve for x
    x = 498,595,568,769/329,728.50
  6. Step 6: Final answer
    x = 1,512,139.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.