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Finding the Third Proportional to 464,562.75 and 734,237.25

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Solution

The third proportional to 464,562.75 and 734,237.25 is: 1,160,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,562.75 : 734,237.25 = 734,237.25 : x
  2. Step 2: Convert to fraction form
    464,562.75/734,237.25 = 734,237.25/x
  3. Step 3: Cross multiply
    464,562.75x = 734,237.25 × 734,237.25
  4. Step 4: Simplify right side
    464,562.75x = 539,104,339,287.56
  5. Step 5: Solve for x
    x = 539,104,339,287.56/464,562.75
  6. Step 6: Final answer
    x = 1,160,455.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.