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Finding the Third Proportional to 457,502 and 694,029

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Solution

The third proportional to 457,502 and 694,029 is: 1,052,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,502 : 694,029 = 694,029 : x
  2. Step 2: Convert to fraction form
    457,502/694,029 = 694,029/x
  3. Step 3: Cross multiply
    457,502x = 694,029 × 694,029
  4. Step 4: Simplify right side
    457,502x = 481,676,252,841
  5. Step 5: Solve for x
    x = 481,676,252,841/457,502
  6. Step 6: Final answer
    x = 1,052,839.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.