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Finding the Third Proportional to 229,120 and 503,069

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Solution

The third proportional to 229,120 and 503,069 is: 1,104,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,120 : 503,069 = 503,069 : x
  2. Step 2: Convert to fraction form
    229,120/503,069 = 503,069/x
  3. Step 3: Cross multiply
    229,120x = 503,069 × 503,069
  4. Step 4: Simplify right side
    229,120x = 253,078,418,761
  5. Step 5: Solve for x
    x = 253,078,418,761/229,120
  6. Step 6: Final answer
    x = 1,104,567.12

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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.