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Finding the Third Proportional to 315,968 and 695,968

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Solution

The third proportional to 315,968 and 695,968 is: 1,532,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,968 : 695,968 = 695,968 : x
  2. Step 2: Convert to fraction form
    315,968/695,968 = 695,968/x
  3. Step 3: Cross multiply
    315,968x = 695,968 × 695,968
  4. Step 4: Simplify right side
    315,968x = 484,371,457,024
  5. Step 5: Solve for x
    x = 484,371,457,024/315,968
  6. Step 6: Final answer
    x = 1,532,976.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.