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Finding the Third Proportional to 229,090.78 and 503,346.66

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Solution

The third proportional to 229,090.78 and 503,346.66 is: 1,105,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,090.78 : 503,346.66 = 503,346.66 : x
  2. Step 2: Convert to fraction form
    229,090.78/503,346.66 = 503,346.66/x
  3. Step 3: Cross multiply
    229,090.78x = 503,346.66 × 503,346.66
  4. Step 4: Simplify right side
    229,090.78x = 253,357,856,358.06
  5. Step 5: Solve for x
    x = 253,357,856,358.06/229,090.78
  6. Step 6: Final answer
    x = 1,105,927.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.