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Finding the Third Proportional to 276,303.50 and 415,481

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Solution

The third proportional to 276,303.50 and 415,481 is: 624,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,303.50 : 415,481 = 415,481 : x
  2. Step 2: Convert to fraction form
    276,303.50/415,481 = 415,481/x
  3. Step 3: Cross multiply
    276,303.50x = 415,481 × 415,481
  4. Step 4: Simplify right side
    276,303.50x = 172,624,461,361
  5. Step 5: Solve for x
    x = 172,624,461,361/276,303.50
  6. Step 6: Final answer
    x = 624,763.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.