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Finding the Third Proportional to 291,277.50 and 393,535

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Solution

The third proportional to 291,277.50 and 393,535 is: 531,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,277.50 : 393,535 = 393,535 : x
  2. Step 2: Convert to fraction form
    291,277.50/393,535 = 393,535/x
  3. Step 3: Cross multiply
    291,277.50x = 393,535 × 393,535
  4. Step 4: Simplify right side
    291,277.50x = 154,869,796,225
  5. Step 5: Solve for x
    x = 154,869,796,225/291,277.50
  6. Step 6: Final answer
    x = 531,691.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.