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Finding the Third Proportional to 348,124.50 and 741,771

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Solution

The third proportional to 348,124.50 and 741,771 is: 1,580,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,124.50 : 741,771 = 741,771 : x
  2. Step 2: Convert to fraction form
    348,124.50/741,771 = 741,771/x
  3. Step 3: Cross multiply
    348,124.50x = 741,771 × 741,771
  4. Step 4: Simplify right side
    348,124.50x = 550,224,216,441
  5. Step 5: Solve for x
    x = 550,224,216,441/348,124.50
  6. Step 6: Final answer
    x = 1,580,538.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.