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Finding the Third Proportional to 501,684 and 777,132

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Solution

The third proportional to 501,684 and 777,132 is: 1,203,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,684 : 777,132 = 777,132 : x
  2. Step 2: Convert to fraction form
    501,684/777,132 = 777,132/x
  3. Step 3: Cross multiply
    501,684x = 777,132 × 777,132
  4. Step 4: Simplify right side
    501,684x = 603,934,145,424
  5. Step 5: Solve for x
    x = 603,934,145,424/501,684
  6. Step 6: Final answer
    x = 1,203,813.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.