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Finding the Third Proportional to 236,740 and 508,616

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Solution

The third proportional to 236,740 and 508,616 is: 1,092,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,740 : 508,616 = 508,616 : x
  2. Step 2: Convert to fraction form
    236,740/508,616 = 508,616/x
  3. Step 3: Cross multiply
    236,740x = 508,616 × 508,616
  4. Step 4: Simplify right side
    236,740x = 258,690,235,456
  5. Step 5: Solve for x
    x = 258,690,235,456/236,740
  6. Step 6: Final answer
    x = 1,092,718.74

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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.