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Finding the Third Proportional to 229,771.69 and 533,935.55

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Solution

The third proportional to 229,771.69 and 533,935.55 is: 1,240,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,771.69 : 533,935.55 = 533,935.55 : x
  2. Step 2: Convert to fraction form
    229,771.69/533,935.55 = 533,935.55/x
  3. Step 3: Cross multiply
    229,771.69x = 533,935.55 × 533,935.55
  4. Step 4: Simplify right side
    229,771.69x = 285,087,168,216.71
  5. Step 5: Solve for x
    x = 285,087,168,216.71/229,771.69
  6. Step 6: Final answer
    x = 1,240,741.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.