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Finding the Third Proportional to 480,709.50 and 733,776.75

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Solution

The third proportional to 480,709.50 and 733,776.75 is: 1,120,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,709.50 : 733,776.75 = 733,776.75 : x
  2. Step 2: Convert to fraction form
    480,709.50/733,776.75 = 733,776.75/x
  3. Step 3: Cross multiply
    480,709.50x = 733,776.75 × 733,776.75
  4. Step 4: Simplify right side
    480,709.50x = 538,428,318,840.56
  5. Step 5: Solve for x
    x = 538,428,318,840.56/480,709.50
  6. Step 6: Final answer
    x = 1,120,070.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.