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Finding the Third Proportional to 281,748.38 and 607,884.75

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Solution

The third proportional to 281,748.38 and 607,884.75 is: 1,311,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,748.38 : 607,884.75 = 607,884.75 : x
  2. Step 2: Convert to fraction form
    281,748.38/607,884.75 = 607,884.75/x
  3. Step 3: Cross multiply
    281,748.38x = 607,884.75 × 607,884.75
  4. Step 4: Simplify right side
    281,748.38x = 369,523,869,282.56
  5. Step 5: Solve for x
    x = 369,523,869,282.56/281,748.38
  6. Step 6: Final answer
    x = 1,311,538.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.