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Finding the Third Proportional to 339,972.19 and 530,653.78

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Solution

The third proportional to 339,972.19 and 530,653.78 is: 828,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,972.19 : 530,653.78 = 530,653.78 : x
  2. Step 2: Convert to fraction form
    339,972.19/530,653.78 = 530,653.78/x
  3. Step 3: Cross multiply
    339,972.19x = 530,653.78 × 530,653.78
  4. Step 4: Simplify right side
    339,972.19x = 281,593,435,554.92
  5. Step 5: Solve for x
    x = 281,593,435,554.92/339,972.19
  6. Step 6: Final answer
    x = 828,283.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.