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Finding the Third Proportional to 229,476 and 503,277

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Solution

The third proportional to 229,476 and 503,277 is: 1,103,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,476 : 503,277 = 503,277 : x
  2. Step 2: Convert to fraction form
    229,476/503,277 = 503,277/x
  3. Step 3: Cross multiply
    229,476x = 503,277 × 503,277
  4. Step 4: Simplify right side
    229,476x = 253,287,738,729
  5. Step 5: Solve for x
    x = 253,287,738,729/229,476
  6. Step 6: Final answer
    x = 1,103,765.70

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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.