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Finding the Third Proportional to 519,784 and 777,560

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Solution

The third proportional to 519,784 and 777,560 is: 1,163,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,784 : 777,560 = 777,560 : x
  2. Step 2: Convert to fraction form
    519,784/777,560 = 777,560/x
  3. Step 3: Cross multiply
    519,784x = 777,560 × 777,560
  4. Step 4: Simplify right side
    519,784x = 604,599,553,600
  5. Step 5: Solve for x
    x = 604,599,553,600/519,784
  6. Step 6: Final answer
    x = 1,163,174.61

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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.