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Finding the Third Proportional to 229,604 and 503,515

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Solution

The third proportional to 229,604 and 503,515 is: 1,104,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,604 : 503,515 = 503,515 : x
  2. Step 2: Convert to fraction form
    229,604/503,515 = 503,515/x
  3. Step 3: Cross multiply
    229,604x = 503,515 × 503,515
  4. Step 4: Simplify right side
    229,604x = 253,527,355,225
  5. Step 5: Solve for x
    x = 253,527,355,225/229,604
  6. Step 6: Final answer
    x = 1,104,193.98

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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.