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Finding the Third Proportional to 281,795.84 and 573,433.16

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Solution

The third proportional to 281,795.84 and 573,433.16 is: 1,166,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,795.84 : 573,433.16 = 573,433.16 : x
  2. Step 2: Convert to fraction form
    281,795.84/573,433.16 = 573,433.16/x
  3. Step 3: Cross multiply
    281,795.84x = 573,433.16 × 573,433.16
  4. Step 4: Simplify right side
    281,795.84x = 328,825,584,686.84
  5. Step 5: Solve for x
    x = 328,825,584,686.84/281,795.84
  6. Step 6: Final answer
    x = 1,166,892.95

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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.