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Finding the Third Proportional to 380,517.75 and 602,079.75

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Solution

The third proportional to 380,517.75 and 602,079.75 is: 952,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,517.75 : 602,079.75 = 602,079.75 : x
  2. Step 2: Convert to fraction form
    380,517.75/602,079.75 = 602,079.75/x
  3. Step 3: Cross multiply
    380,517.75x = 602,079.75 × 602,079.75
  4. Step 4: Simplify right side
    380,517.75x = 362,500,025,360.06
  5. Step 5: Solve for x
    x = 362,500,025,360.06/380,517.75
  6. Step 6: Final answer
    x = 952,649.45

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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.