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Finding the Third Proportional to 471,272 and 713,772

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Solution

The third proportional to 471,272 and 713,772 is: 1,081,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,272 : 713,772 = 713,772 : x
  2. Step 2: Convert to fraction form
    471,272/713,772 = 713,772/x
  3. Step 3: Cross multiply
    471,272x = 713,772 × 713,772
  4. Step 4: Simplify right side
    471,272x = 509,470,467,984
  5. Step 5: Solve for x
    x = 509,470,467,984/471,272
  6. Step 6: Final answer
    x = 1,081,053.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.