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Finding the Third Proportional to 229,465 and 504,310

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Solution

The third proportional to 229,465 and 504,310 is: 1,108,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,465 : 504,310 = 504,310 : x
  2. Step 2: Convert to fraction form
    229,465/504,310 = 504,310/x
  3. Step 3: Cross multiply
    229,465x = 504,310 × 504,310
  4. Step 4: Simplify right side
    229,465x = 254,328,576,100
  5. Step 5: Solve for x
    x = 254,328,576,100/229,465
  6. Step 6: Final answer
    x = 1,108,354.55

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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.