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Finding the Third Proportional to 242,224.31 and 521,465.06

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Solution

The third proportional to 242,224.31 and 521,465.06 is: 1,122,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,224.31 : 521,465.06 = 521,465.06 : x
  2. Step 2: Convert to fraction form
    242,224.31/521,465.06 = 521,465.06/x
  3. Step 3: Cross multiply
    242,224.31x = 521,465.06 × 521,465.06
  4. Step 4: Simplify right side
    242,224.31x = 271,925,811,408.13
  5. Step 5: Solve for x
    x = 271,925,811,408.13/242,224.31
  6. Step 6: Final answer
    x = 1,122,619.81

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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.