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Finding the Third Proportional to 243,938 and 533,956

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Solution

The third proportional to 243,938 and 533,956 is: 1,168,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,938 : 533,956 = 533,956 : x
  2. Step 2: Convert to fraction form
    243,938/533,956 = 533,956/x
  3. Step 3: Cross multiply
    243,938x = 533,956 × 533,956
  4. Step 4: Simplify right side
    243,938x = 285,109,009,936
  5. Step 5: Solve for x
    x = 285,109,009,936/243,938
  6. Step 6: Final answer
    x = 1,168,776.53

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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.