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Finding the Third Proportional to 519,498 and 779,265

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Solution

The third proportional to 519,498 and 779,265 is: 1,168,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,498 : 779,265 = 779,265 : x
  2. Step 2: Convert to fraction form
    519,498/779,265 = 779,265/x
  3. Step 3: Cross multiply
    519,498x = 779,265 × 779,265
  4. Step 4: Simplify right side
    519,498x = 607,253,940,225
  5. Step 5: Solve for x
    x = 607,253,940,225/519,498
  6. Step 6: Final answer
    x = 1,168,924.50

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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.