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Finding the Third Proportional to 216,654.75 and 467,572.50

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Solution

The third proportional to 216,654.75 and 467,572.50 is: 1,009,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,654.75 : 467,572.50 = 467,572.50 : x
  2. Step 2: Convert to fraction form
    216,654.75/467,572.50 = 467,572.50/x
  3. Step 3: Cross multiply
    216,654.75x = 467,572.50 × 467,572.50
  4. Step 4: Simplify right side
    216,654.75x = 218,624,042,756.25
  5. Step 5: Solve for x
    x = 218,624,042,756.25/216,654.75
  6. Step 6: Final answer
    x = 1,009,089.54

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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.