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Finding the Third Proportional to 519,800 and 777,584

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Solution

The third proportional to 519,800 and 777,584 is: 1,163,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,800 : 777,584 = 777,584 : x
  2. Step 2: Convert to fraction form
    519,800/777,584 = 777,584/x
  3. Step 3: Cross multiply
    519,800x = 777,584 × 777,584
  4. Step 4: Simplify right side
    519,800x = 604,636,877,056
  5. Step 5: Solve for x
    x = 604,636,877,056/519,800
  6. Step 6: Final answer
    x = 1,163,210.61

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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.