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Finding the Third Proportional to 261,942.75 and 503,655.75

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Solution

The third proportional to 261,942.75 and 503,655.75 is: 968,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,942.75 : 503,655.75 = 503,655.75 : x
  2. Step 2: Convert to fraction form
    261,942.75/503,655.75 = 503,655.75/x
  3. Step 3: Cross multiply
    261,942.75x = 503,655.75 × 503,655.75
  4. Step 4: Simplify right side
    261,942.75x = 253,669,114,508.06
  5. Step 5: Solve for x
    x = 253,669,114,508.06/261,942.75
  6. Step 6: Final answer
    x = 968,414.34

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.