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Finding the Third Proportional to 229,101 and 493,684.50

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Solution

The third proportional to 229,101 and 493,684.50 is: 1,063,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,101 : 493,684.50 = 493,684.50 : x
  2. Step 2: Convert to fraction form
    229,101/493,684.50 = 493,684.50/x
  3. Step 3: Cross multiply
    229,101x = 493,684.50 × 493,684.50
  4. Step 4: Simplify right side
    229,101x = 243,724,385,540.25
  5. Step 5: Solve for x
    x = 243,724,385,540.25/229,101
  6. Step 6: Final answer
    x = 1,063,829.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.