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Finding the Third Proportional to 229,485 and 497,093

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Solution

The third proportional to 229,485 and 497,093 is: 1,076,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,485 : 497,093 = 497,093 : x
  2. Step 2: Convert to fraction form
    229,485/497,093 = 497,093/x
  3. Step 3: Cross multiply
    229,485x = 497,093 × 497,093
  4. Step 4: Simplify right side
    229,485x = 247,101,450,649
  5. Step 5: Solve for x
    x = 247,101,450,649/229,485
  6. Step 6: Final answer
    x = 1,076,765.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.