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Finding the Third Proportional to 227,518.50 and 499,752

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Solution

The third proportional to 227,518.50 and 499,752 is: 1,097,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,518.50 : 499,752 = 499,752 : x
  2. Step 2: Convert to fraction form
    227,518.50/499,752 = 499,752/x
  3. Step 3: Cross multiply
    227,518.50x = 499,752 × 499,752
  4. Step 4: Simplify right side
    227,518.50x = 249,752,061,504
  5. Step 5: Solve for x
    x = 249,752,061,504/227,518.50
  6. Step 6: Final answer
    x = 1,097,721.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.