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Finding the Third Proportional to 457,506 and 694,036

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Solution

The third proportional to 457,506 and 694,036 is: 1,052,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,506 : 694,036 = 694,036 : x
  2. Step 2: Convert to fraction form
    457,506/694,036 = 694,036/x
  3. Step 3: Cross multiply
    457,506x = 694,036 × 694,036
  4. Step 4: Simplify right side
    457,506x = 481,685,969,296
  5. Step 5: Solve for x
    x = 481,685,969,296/457,506
  6. Step 6: Final answer
    x = 1,052,851.70

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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.