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Finding the Third Proportional to 368,038.69 and 539,908.03

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Solution

The third proportional to 368,038.69 and 539,908.03 is: 792,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,038.69 : 539,908.03 = 539,908.03 : x
  2. Step 2: Convert to fraction form
    368,038.69/539,908.03 = 539,908.03/x
  3. Step 3: Cross multiply
    368,038.69x = 539,908.03 × 539,908.03
  4. Step 4: Simplify right side
    368,038.69x = 291,500,682,208.25
  5. Step 5: Solve for x
    x = 291,500,682,208.25/368,038.69
  6. Step 6: Final answer
    x = 792,038.15

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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.