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Finding the Third Proportional to 229,514 and 492,232

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Solution

The third proportional to 229,514 and 492,232 is: 1,055,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,514 : 492,232 = 492,232 : x
  2. Step 2: Convert to fraction form
    229,514/492,232 = 492,232/x
  3. Step 3: Cross multiply
    229,514x = 492,232 × 492,232
  4. Step 4: Simplify right side
    229,514x = 242,292,341,824
  5. Step 5: Solve for x
    x = 242,292,341,824/229,514
  6. Step 6: Final answer
    x = 1,055,675.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.