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Finding the Third Proportional to 229,027 and 488,485

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Solution

The third proportional to 229,027 and 488,485 is: 1,041,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,027 : 488,485 = 488,485 : x
  2. Step 2: Convert to fraction form
    229,027/488,485 = 488,485/x
  3. Step 3: Cross multiply
    229,027x = 488,485 × 488,485
  4. Step 4: Simplify right side
    229,027x = 238,617,595,225
  5. Step 5: Solve for x
    x = 238,617,595,225/229,027
  6. Step 6: Final answer
    x = 1,041,875.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.