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Finding the Third Proportional to 229,125 and 503,078

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Solution

The third proportional to 229,125 and 503,078 is: 1,104,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,125 : 503,078 = 503,078 : x
  2. Step 2: Convert to fraction form
    229,125/503,078 = 503,078/x
  3. Step 3: Cross multiply
    229,125x = 503,078 × 503,078
  4. Step 4: Simplify right side
    229,125x = 253,087,474,084
  5. Step 5: Solve for x
    x = 253,087,474,084/229,125
  6. Step 6: Final answer
    x = 1,104,582.54

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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.