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Finding the Third Proportional to 281,281.50 and 573,007.50

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Solution

The third proportional to 281,281.50 and 573,007.50 is: 1,167,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,281.50 : 573,007.50 = 573,007.50 : x
  2. Step 2: Convert to fraction form
    281,281.50/573,007.50 = 573,007.50/x
  3. Step 3: Cross multiply
    281,281.50x = 573,007.50 × 573,007.50
  4. Step 4: Simplify right side
    281,281.50x = 328,337,595,056.25
  5. Step 5: Solve for x
    x = 328,337,595,056.25/281,281.50
  6. Step 6: Final answer
    x = 1,167,291.82

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.