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Finding the Third Proportional to 229,420 and 503,160.50

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Solution

The third proportional to 229,420 and 503,160.50 is: 1,103,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,420 : 503,160.50 = 503,160.50 : x
  2. Step 2: Convert to fraction form
    229,420/503,160.50 = 503,160.50/x
  3. Step 3: Cross multiply
    229,420x = 503,160.50 × 503,160.50
  4. Step 4: Simplify right side
    229,420x = 253,170,488,760.25
  5. Step 5: Solve for x
    x = 253,170,488,760.25/229,420
  6. Step 6: Final answer
    x = 1,103,524.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.