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Finding the Third Proportional to 229,471 and 497,076.50

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Solution

The third proportional to 229,471 and 497,076.50 is: 1,076,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,471 : 497,076.50 = 497,076.50 : x
  2. Step 2: Convert to fraction form
    229,471/497,076.50 = 497,076.50/x
  3. Step 3: Cross multiply
    229,471x = 497,076.50 × 497,076.50
  4. Step 4: Simplify right side
    229,471x = 247,085,046,852.25
  5. Step 5: Solve for x
    x = 247,085,046,852.25/229,471
  6. Step 6: Final answer
    x = 1,076,759.36

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