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Finding the Third Proportional to 347,064.75 and 524,967.75

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Solution

The third proportional to 347,064.75 and 524,967.75 is: 794,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,064.75 : 524,967.75 = 524,967.75 : x
  2. Step 2: Convert to fraction form
    347,064.75/524,967.75 = 524,967.75/x
  3. Step 3: Cross multiply
    347,064.75x = 524,967.75 × 524,967.75
  4. Step 4: Simplify right side
    347,064.75x = 275,591,138,540.06
  5. Step 5: Solve for x
    x = 275,591,138,540.06/347,064.75
  6. Step 6: Final answer
    x = 794,062.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.