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Finding the Third Proportional to 265,983.75 and 408,820.50

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Solution

The third proportional to 265,983.75 and 408,820.50 is: 628,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,983.75 : 408,820.50 = 408,820.50 : x
  2. Step 2: Convert to fraction form
    265,983.75/408,820.50 = 408,820.50/x
  3. Step 3: Cross multiply
    265,983.75x = 408,820.50 × 408,820.50
  4. Step 4: Simplify right side
    265,983.75x = 167,134,201,220.25
  5. Step 5: Solve for x
    x = 167,134,201,220.25/265,983.75
  6. Step 6: Final answer
    x = 628,362.45

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