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Finding the Third Proportional to 229,470 and 503,265

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Solution

The third proportional to 229,470 and 503,265 is: 1,103,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,470 : 503,265 = 503,265 : x
  2. Step 2: Convert to fraction form
    229,470/503,265 = 503,265/x
  3. Step 3: Cross multiply
    229,470x = 503,265 × 503,265
  4. Step 4: Simplify right side
    229,470x = 253,275,660,225
  5. Step 5: Solve for x
    x = 253,275,660,225/229,470
  6. Step 6: Final answer
    x = 1,103,741.93

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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.