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Finding the Third Proportional to 243,936 and 533,952

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Solution

The third proportional to 243,936 and 533,952 is: 1,168,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,936 : 533,952 = 533,952 : x
  2. Step 2: Convert to fraction form
    243,936/533,952 = 533,952/x
  3. Step 3: Cross multiply
    243,936x = 533,952 × 533,952
  4. Step 4: Simplify right side
    243,936x = 285,104,738,304
  5. Step 5: Solve for x
    x = 285,104,738,304/243,936
  6. Step 6: Final answer
    x = 1,168,768.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.