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Finding the Third Proportional to 456,952 and 682,740

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Solution

The third proportional to 456,952 and 682,740 is: 1,020,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,952 : 682,740 = 682,740 : x
  2. Step 2: Convert to fraction form
    456,952/682,740 = 682,740/x
  3. Step 3: Cross multiply
    456,952x = 682,740 × 682,740
  4. Step 4: Simplify right side
    456,952x = 466,133,907,600
  5. Step 5: Solve for x
    x = 466,133,907,600/456,952
  6. Step 6: Final answer
    x = 1,020,093.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.