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Finding the Third Proportional to 229,421 and 503,163

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Solution

The third proportional to 229,421 and 503,163 is: 1,103,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,421 : 503,163 = 503,163 : x
  2. Step 2: Convert to fraction form
    229,421/503,163 = 503,163/x
  3. Step 3: Cross multiply
    229,421x = 503,163 × 503,163
  4. Step 4: Simplify right side
    229,421x = 253,173,004,569
  5. Step 5: Solve for x
    x = 253,173,004,569/229,421
  6. Step 6: Final answer
    x = 1,103,530.21

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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.