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Finding the Third Proportional to 229,141 and 503,419

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Solution

The third proportional to 229,141 and 503,419 is: 1,106,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,141 : 503,419 = 503,419 : x
  2. Step 2: Convert to fraction form
    229,141/503,419 = 503,419/x
  3. Step 3: Cross multiply
    229,141x = 503,419 × 503,419
  4. Step 4: Simplify right side
    229,141x = 253,430,689,561
  5. Step 5: Solve for x
    x = 253,430,689,561/229,141
  6. Step 6: Final answer
    x = 1,106,003.24

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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.