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Finding the Third Proportional to 456,243 and 667,029

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Solution

The third proportional to 456,243 and 667,029 is: 975,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,243 : 667,029 = 667,029 : x
  2. Step 2: Convert to fraction form
    456,243/667,029 = 667,029/x
  3. Step 3: Cross multiply
    456,243x = 667,029 × 667,029
  4. Step 4: Simplify right side
    456,243x = 444,927,686,841
  5. Step 5: Solve for x
    x = 444,927,686,841/456,243
  6. Step 6: Final answer
    x = 975,198.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.