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Finding the Third Proportional to 274,914 and 402,529.50

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Solution

The third proportional to 274,914 and 402,529.50 is: 589,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,914 : 402,529.50 = 402,529.50 : x
  2. Step 2: Convert to fraction form
    274,914/402,529.50 = 402,529.50/x
  3. Step 3: Cross multiply
    274,914x = 402,529.50 × 402,529.50
  4. Step 4: Simplify right side
    274,914x = 162,029,998,370.25
  5. Step 5: Solve for x
    x = 162,029,998,370.25/274,914
  6. Step 6: Final answer
    x = 589,384.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.