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Finding the Third Proportional to 334,160 and 695,968

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Solution

The third proportional to 334,160 and 695,968 is: 1,449,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,160 : 695,968 = 695,968 : x
  2. Step 2: Convert to fraction form
    334,160/695,968 = 695,968/x
  3. Step 3: Cross multiply
    334,160x = 695,968 × 695,968
  4. Step 4: Simplify right side
    334,160x = 484,371,457,024
  5. Step 5: Solve for x
    x = 484,371,457,024/334,160
  6. Step 6: Final answer
    x = 1,449,519.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.