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Finding the Third Proportional to 470,616 and 706,997

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Solution

The third proportional to 470,616 and 706,997 is: 1,062,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,616 : 706,997 = 706,997 : x
  2. Step 2: Convert to fraction form
    470,616/706,997 = 706,997/x
  3. Step 3: Cross multiply
    470,616x = 706,997 × 706,997
  4. Step 4: Simplify right side
    470,616x = 499,844,758,009
  5. Step 5: Solve for x
    x = 499,844,758,009/470,616
  6. Step 6: Final answer
    x = 1,062,107.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.