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Finding the Third Proportional to 349,771.50 and 747,525.38

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Solution

The third proportional to 349,771.50 and 747,525.38 is: 1,597,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,771.50 : 747,525.38 = 747,525.38 : x
  2. Step 2: Convert to fraction form
    349,771.50/747,525.38 = 747,525.38/x
  3. Step 3: Cross multiply
    349,771.50x = 747,525.38 × 747,525.38
  4. Step 4: Simplify right side
    349,771.50x = 558,794,186,268.89
  5. Step 5: Solve for x
    x = 558,794,186,268.89/349,771.50
  6. Step 6: Final answer
    x = 1,597,597.82

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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.