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Finding the Third Proportional to 305,403.75 and 657,632.25

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Solution

The third proportional to 305,403.75 and 657,632.25 is: 1,416,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,403.75 : 657,632.25 = 657,632.25 : x
  2. Step 2: Convert to fraction form
    305,403.75/657,632.25 = 657,632.25/x
  3. Step 3: Cross multiply
    305,403.75x = 657,632.25 × 657,632.25
  4. Step 4: Simplify right side
    305,403.75x = 432,480,176,240.06
  5. Step 5: Solve for x
    x = 432,480,176,240.06/305,403.75
  6. Step 6: Final answer
    x = 1,416,093.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.