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Finding the Third Proportional to 341,733.94 and 530,506.97

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Solution

The third proportional to 341,733.94 and 530,506.97 is: 823,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,733.94 : 530,506.97 = 530,506.97 : x
  2. Step 2: Convert to fraction form
    341,733.94/530,506.97 = 530,506.97/x
  3. Step 3: Cross multiply
    341,733.94x = 530,506.97 × 530,506.97
  4. Step 4: Simplify right side
    341,733.94x = 281,437,643,892.31
  5. Step 5: Solve for x
    x = 281,437,643,892.31/341,733.94
  6. Step 6: Final answer
    x = 823,557.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.