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Finding the Third Proportional to 225,855 and 488,929.50

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Solution

The third proportional to 225,855 and 488,929.50 is: 1,058,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,855 : 488,929.50 = 488,929.50 : x
  2. Step 2: Convert to fraction form
    225,855/488,929.50 = 488,929.50/x
  3. Step 3: Cross multiply
    225,855x = 488,929.50 × 488,929.50
  4. Step 4: Simplify right side
    225,855x = 239,052,055,970.25
  5. Step 5: Solve for x
    x = 239,052,055,970.25/225,855
  6. Step 6: Final answer
    x = 1,058,431.54

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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.