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Finding the Third Proportional to 196,952 and 474,839

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Solution

The third proportional to 196,952 and 474,839 is: 1,144,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,952 : 474,839 = 474,839 : x
  2. Step 2: Convert to fraction form
    196,952/474,839 = 474,839/x
  3. Step 3: Cross multiply
    196,952x = 474,839 × 474,839
  4. Step 4: Simplify right side
    196,952x = 225,472,075,921
  5. Step 5: Solve for x
    x = 225,472,075,921/196,952
  6. Step 6: Final answer
    x = 1,144,807.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.