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Finding the Third Proportional to 310,451 and 474,699

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Solution

The third proportional to 310,451 and 474,699 is: 725,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,451 : 474,699 = 474,699 : x
  2. Step 2: Convert to fraction form
    310,451/474,699 = 474,699/x
  3. Step 3: Cross multiply
    310,451x = 474,699 × 474,699
  4. Step 4: Simplify right side
    310,451x = 225,339,140,601
  5. Step 5: Solve for x
    x = 225,339,140,601/310,451
  6. Step 6: Final answer
    x = 725,844.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.