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Finding the Third Proportional to 242,026 and 531,819

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Solution

The third proportional to 242,026 and 531,819 is: 1,168,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,026 : 531,819 = 531,819 : x
  2. Step 2: Convert to fraction form
    242,026/531,819 = 531,819/x
  3. Step 3: Cross multiply
    242,026x = 531,819 × 531,819
  4. Step 4: Simplify right side
    242,026x = 282,831,448,761
  5. Step 5: Solve for x
    x = 282,831,448,761/242,026
  6. Step 6: Final answer
    x = 1,168,599.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.