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Finding the Third Proportional to 242,544 and 494,952

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Solution

The third proportional to 242,544 and 494,952 is: 1,010,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,544 : 494,952 = 494,952 : x
  2. Step 2: Convert to fraction form
    242,544/494,952 = 494,952/x
  3. Step 3: Cross multiply
    242,544x = 494,952 × 494,952
  4. Step 4: Simplify right side
    242,544x = 244,977,482,304
  5. Step 5: Solve for x
    x = 244,977,482,304/242,544
  6. Step 6: Final answer
    x = 1,010,033.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.