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Finding the Third Proportional to 281,623.50 and 586,554.75

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Solution

The third proportional to 281,623.50 and 586,554.75 is: 1,221,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,623.50 : 586,554.75 = 586,554.75 : x
  2. Step 2: Convert to fraction form
    281,623.50/586,554.75 = 586,554.75/x
  3. Step 3: Cross multiply
    281,623.50x = 586,554.75 × 586,554.75
  4. Step 4: Simplify right side
    281,623.50x = 344,046,474,747.56
  5. Step 5: Solve for x
    x = 344,046,474,747.56/281,623.50
  6. Step 6: Final answer
    x = 1,221,654.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.