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Finding the Third Proportional to 236,746 and 558,788

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Solution

The third proportional to 236,746 and 558,788 is: 1,318,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,746 : 558,788 = 558,788 : x
  2. Step 2: Convert to fraction form
    236,746/558,788 = 558,788/x
  3. Step 3: Cross multiply
    236,746x = 558,788 × 558,788
  4. Step 4: Simplify right side
    236,746x = 312,244,028,944
  5. Step 5: Solve for x
    x = 312,244,028,944/236,746
  6. Step 6: Final answer
    x = 1,318,898.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.