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Finding the Third Proportional to 456,206 and 666,973

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Solution

The third proportional to 456,206 and 666,973 is: 975,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,206 : 666,973 = 666,973 : x
  2. Step 2: Convert to fraction form
    456,206/666,973 = 666,973/x
  3. Step 3: Cross multiply
    456,206x = 666,973 × 666,973
  4. Step 4: Simplify right side
    456,206x = 444,852,982,729
  5. Step 5: Solve for x
    x = 444,852,982,729/456,206
  6. Step 6: Final answer
    x = 975,114.27

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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.