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Finding the Third Proportional to 229,610 and 503,608

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Solution

The third proportional to 229,610 and 503,608 is: 1,104,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,610 : 503,608 = 503,608 : x
  2. Step 2: Convert to fraction form
    229,610/503,608 = 503,608/x
  3. Step 3: Cross multiply
    229,610x = 503,608 × 503,608
  4. Step 4: Simplify right side
    229,610x = 253,621,017,664
  5. Step 5: Solve for x
    x = 253,621,017,664/229,610
  6. Step 6: Final answer
    x = 1,104,573.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.