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Finding the Third Proportional to 386,918.50 and 591,826

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Solution

The third proportional to 386,918.50 and 591,826 is: 905,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,918.50 : 591,826 = 591,826 : x
  2. Step 2: Convert to fraction form
    386,918.50/591,826 = 591,826/x
  3. Step 3: Cross multiply
    386,918.50x = 591,826 × 591,826
  4. Step 4: Simplify right side
    386,918.50x = 350,258,014,276
  5. Step 5: Solve for x
    x = 350,258,014,276/386,918.50
  6. Step 6: Final answer
    x = 905,250.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.