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Finding the Third Proportional to 243,346 and 524,134

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Solution

The third proportional to 243,346 and 524,134 is: 1,128,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,346 : 524,134 = 524,134 : x
  2. Step 2: Convert to fraction form
    243,346/524,134 = 524,134/x
  3. Step 3: Cross multiply
    243,346x = 524,134 × 524,134
  4. Step 4: Simplify right side
    243,346x = 274,716,449,956
  5. Step 5: Solve for x
    x = 274,716,449,956/243,346
  6. Step 6: Final answer
    x = 1,128,912.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.