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Finding the Third Proportional to 504,498 and 756,819

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Solution

The third proportional to 504,498 and 756,819 is: 1,135,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,498 : 756,819 = 756,819 : x
  2. Step 2: Convert to fraction form
    504,498/756,819 = 756,819/x
  3. Step 3: Cross multiply
    504,498x = 756,819 × 756,819
  4. Step 4: Simplify right side
    504,498x = 572,774,998,761
  5. Step 5: Solve for x
    x = 572,774,998,761/504,498
  6. Step 6: Final answer
    x = 1,135,336.51

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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.