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Finding the Third Proportional to 229,464 and 501,264

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Solution

The third proportional to 229,464 and 501,264 is: 1,095,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,464 : 501,264 = 501,264 : x
  2. Step 2: Convert to fraction form
    229,464/501,264 = 501,264/x
  3. Step 3: Cross multiply
    229,464x = 501,264 × 501,264
  4. Step 4: Simplify right side
    229,464x = 251,265,597,696
  5. Step 5: Solve for x
    x = 251,265,597,696/229,464
  6. Step 6: Final answer
    x = 1,095,010.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.