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Finding the Third Proportional to 281,797 and 573,435

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Solution

The third proportional to 281,797 and 573,435 is: 1,166,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,797 : 573,435 = 573,435 : x
  2. Step 2: Convert to fraction form
    281,797/573,435 = 573,435/x
  3. Step 3: Cross multiply
    281,797x = 573,435 × 573,435
  4. Step 4: Simplify right side
    281,797x = 328,827,699,225
  5. Step 5: Solve for x
    x = 328,827,699,225/281,797
  6. Step 6: Final answer
    x = 1,166,895.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.