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Finding the Third Proportional to 539,749.50 and 792,128.25

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Solution

The third proportional to 539,749.50 and 792,128.25 is: 1,162,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,749.50 : 792,128.25 = 792,128.25 : x
  2. Step 2: Convert to fraction form
    539,749.50/792,128.25 = 792,128.25/x
  3. Step 3: Cross multiply
    539,749.50x = 792,128.25 × 792,128.25
  4. Step 4: Simplify right side
    539,749.50x = 627,467,164,448.06
  5. Step 5: Solve for x
    x = 627,467,164,448.06/539,749.50
  6. Step 6: Final answer
    x = 1,162,515.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.