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Finding the Third Proportional to 501,427.75 and 776,747

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Solution

The third proportional to 501,427.75 and 776,747 is: 1,203,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,427.75 : 776,747 = 776,747 : x
  2. Step 2: Convert to fraction form
    501,427.75/776,747 = 776,747/x
  3. Step 3: Cross multiply
    501,427.75x = 776,747 × 776,747
  4. Step 4: Simplify right side
    501,427.75x = 603,335,902,009
  5. Step 5: Solve for x
    x = 603,335,902,009/501,427.75
  6. Step 6: Final answer
    x = 1,203,235.96

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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.