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Finding the Third Proportional to 232,285.50 and 476,455.50

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Solution

The third proportional to 232,285.50 and 476,455.50 is: 977,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,285.50 : 476,455.50 = 476,455.50 : x
  2. Step 2: Convert to fraction form
    232,285.50/476,455.50 = 476,455.50/x
  3. Step 3: Cross multiply
    232,285.50x = 476,455.50 × 476,455.50
  4. Step 4: Simplify right side
    232,285.50x = 227,009,843,480.25
  5. Step 5: Solve for x
    x = 227,009,843,480.25/232,285.50
  6. Step 6: Final answer
    x = 977,288.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.