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Finding the Third Proportional to 229,608 and 503,523

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Solution

The third proportional to 229,608 and 503,523 is: 1,104,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,608 : 503,523 = 503,523 : x
  2. Step 2: Convert to fraction form
    229,608/503,523 = 503,523/x
  3. Step 3: Cross multiply
    229,608x = 503,523 × 503,523
  4. Step 4: Simplify right side
    229,608x = 253,535,411,529
  5. Step 5: Solve for x
    x = 253,535,411,529/229,608
  6. Step 6: Final answer
    x = 1,104,209.83

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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.