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Finding the Third Proportional to 296,760 and 454,968

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Solution

The third proportional to 296,760 and 454,968 is: 697,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,760 : 454,968 = 454,968 : x
  2. Step 2: Convert to fraction form
    296,760/454,968 = 454,968/x
  3. Step 3: Cross multiply
    296,760x = 454,968 × 454,968
  4. Step 4: Simplify right side
    296,760x = 206,995,881,024
  5. Step 5: Solve for x
    x = 206,995,881,024/296,760
  6. Step 6: Final answer
    x = 697,519.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.