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Finding the Third Proportional to 229,064.63 and 483,981.75

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Solution

The third proportional to 229,064.63 and 483,981.75 is: 1,022,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,064.63 : 483,981.75 = 483,981.75 : x
  2. Step 2: Convert to fraction form
    229,064.63/483,981.75 = 483,981.75/x
  3. Step 3: Cross multiply
    229,064.63x = 483,981.75 × 483,981.75
  4. Step 4: Simplify right side
    229,064.63x = 234,238,334,333.06
  5. Step 5: Solve for x
    x = 234,238,334,333.06/229,064.63
  6. Step 6: Final answer
    x = 1,022,586.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.