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Finding the Third Proportional to 489,747.75 and 742,028.44

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Solution

The third proportional to 489,747.75 and 742,028.44 is: 1,124,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,747.75 : 742,028.44 = 742,028.44 : x
  2. Step 2: Convert to fraction form
    489,747.75/742,028.44 = 742,028.44/x
  3. Step 3: Cross multiply
    489,747.75x = 742,028.44 × 742,028.44
  4. Step 4: Simplify right side
    489,747.75x = 550,606,202,058.69
  5. Step 5: Solve for x
    x = 550,606,202,058.69/489,747.75
  6. Step 6: Final answer
    x = 1,124,264.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.