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Finding the Third Proportional to 234,124 and 505,688

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Solution

The third proportional to 234,124 and 505,688 is: 1,092,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,124 : 505,688 = 505,688 : x
  2. Step 2: Convert to fraction form
    234,124/505,688 = 505,688/x
  3. Step 3: Cross multiply
    234,124x = 505,688 × 505,688
  4. Step 4: Simplify right side
    234,124x = 255,720,353,344
  5. Step 5: Solve for x
    x = 255,720,353,344/234,124
  6. Step 6: Final answer
    x = 1,092,243.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.