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Finding the Third Proportional to 243,830 and 521,462

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Solution

The third proportional to 243,830 and 521,462 is: 1,115,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,830 : 521,462 = 521,462 : x
  2. Step 2: Convert to fraction form
    243,830/521,462 = 521,462/x
  3. Step 3: Cross multiply
    243,830x = 521,462 × 521,462
  4. Step 4: Simplify right side
    243,830x = 271,922,617,444
  5. Step 5: Solve for x
    x = 271,922,617,444/243,830
  6. Step 6: Final answer
    x = 1,115,213.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.