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Finding the Third Proportional to 349,258.50 and 723,532.50

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Solution

The third proportional to 349,258.50 and 723,532.50 is: 1,498,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,258.50 : 723,532.50 = 723,532.50 : x
  2. Step 2: Convert to fraction form
    349,258.50/723,532.50 = 723,532.50/x
  3. Step 3: Cross multiply
    349,258.50x = 723,532.50 × 723,532.50
  4. Step 4: Simplify right side
    349,258.50x = 523,499,278,556.25
  5. Step 5: Solve for x
    x = 523,499,278,556.25/349,258.50
  6. Step 6: Final answer
    x = 1,498,887.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.