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Finding the Third Proportional to 296,768 and 454,976

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Solution

The third proportional to 296,768 and 454,976 is: 697,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,768 : 454,976 = 454,976 : x
  2. Step 2: Convert to fraction form
    296,768/454,976 = 454,976/x
  3. Step 3: Cross multiply
    296,768x = 454,976 × 454,976
  4. Step 4: Simplify right side
    296,768x = 207,003,160,576
  5. Step 5: Solve for x
    x = 207,003,160,576/296,768
  6. Step 6: Final answer
    x = 697,525.21

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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.