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Finding the Third Proportional to 384,810.75 and 591,978.38

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Solution

The third proportional to 384,810.75 and 591,978.38 is: 910,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,810.75 : 591,978.38 = 591,978.38 : x
  2. Step 2: Convert to fraction form
    384,810.75/591,978.38 = 591,978.38/x
  3. Step 3: Cross multiply
    384,810.75x = 591,978.38 × 591,978.38
  4. Step 4: Simplify right side
    384,810.75x = 350,438,396,467.64
  5. Step 5: Solve for x
    x = 350,438,396,467.64/384,810.75
  6. Step 6: Final answer
    x = 910,677.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.