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Finding the Third Proportional to 456,200 and 666,966

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Solution

The third proportional to 456,200 and 666,966 is: 975,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,200 : 666,966 = 666,966 : x
  2. Step 2: Convert to fraction form
    456,200/666,966 = 666,966/x
  3. Step 3: Cross multiply
    456,200x = 666,966 × 666,966
  4. Step 4: Simplify right side
    456,200x = 444,843,645,156
  5. Step 5: Solve for x
    x = 444,843,645,156/456,200
  6. Step 6: Final answer
    x = 975,106.63

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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.