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Finding the Third Proportional to 243,496 and 533,692

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Solution

The third proportional to 243,496 and 533,692 is: 1,169,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,496 : 533,692 = 533,692 : x
  2. Step 2: Convert to fraction form
    243,496/533,692 = 533,692/x
  3. Step 3: Cross multiply
    243,496x = 533,692 × 533,692
  4. Step 4: Simplify right side
    243,496x = 284,827,150,864
  5. Step 5: Solve for x
    x = 284,827,150,864/243,496
  6. Step 6: Final answer
    x = 1,169,740.57

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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.