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Finding the Third Proportional to 296,768 and 454,980

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Solution

The third proportional to 296,768 and 454,980 is: 697,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,768 : 454,980 = 454,980 : x
  2. Step 2: Convert to fraction form
    296,768/454,980 = 454,980/x
  3. Step 3: Cross multiply
    296,768x = 454,980 × 454,980
  4. Step 4: Simplify right side
    296,768x = 207,006,800,400
  5. Step 5: Solve for x
    x = 207,006,800,400/296,768
  6. Step 6: Final answer
    x = 697,537.47

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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.