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Finding the Third Proportional to 368,128.13 and 540,074.25

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Solution

The third proportional to 368,128.13 and 540,074.25 is: 792,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,128.13 : 540,074.25 = 540,074.25 : x
  2. Step 2: Convert to fraction form
    368,128.13/540,074.25 = 540,074.25/x
  3. Step 3: Cross multiply
    368,128.13x = 540,074.25 × 540,074.25
  4. Step 4: Simplify right side
    368,128.13x = 291,680,195,513.06
  5. Step 5: Solve for x
    x = 291,680,195,513.06/368,128.13
  6. Step 6: Final answer
    x = 792,333.36

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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.