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Finding the Third Proportional to 320,968 and 695,456

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Solution

The third proportional to 320,968 and 695,456 is: 1,506,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,968 : 695,456 = 695,456 : x
  2. Step 2: Convert to fraction form
    320,968/695,456 = 695,456/x
  3. Step 3: Cross multiply
    320,968x = 695,456 × 695,456
  4. Step 4: Simplify right side
    320,968x = 483,659,047,936
  5. Step 5: Solve for x
    x = 483,659,047,936/320,968
  6. Step 6: Final answer
    x = 1,506,876.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.