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Finding the Third Proportional to 245,863.50 and 379,711.50

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Solution

The third proportional to 245,863.50 and 379,711.50 is: 586,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,863.50 : 379,711.50 = 379,711.50 : x
  2. Step 2: Convert to fraction form
    245,863.50/379,711.50 = 379,711.50/x
  3. Step 3: Cross multiply
    245,863.50x = 379,711.50 × 379,711.50
  4. Step 4: Simplify right side
    245,863.50x = 144,180,823,232.25
  5. Step 5: Solve for x
    x = 144,180,823,232.25/245,863.50
  6. Step 6: Final answer
    x = 586,426.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.