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Finding the Third Proportional to 305,950.75 and 662,750.25

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Solution

The third proportional to 305,950.75 and 662,750.25 is: 1,435,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,950.75 : 662,750.25 = 662,750.25 : x
  2. Step 2: Convert to fraction form
    305,950.75/662,750.25 = 662,750.25/x
  3. Step 3: Cross multiply
    305,950.75x = 662,750.25 × 662,750.25
  4. Step 4: Simplify right side
    305,950.75x = 439,237,893,875.06
  5. Step 5: Solve for x
    x = 439,237,893,875.06/305,950.75
  6. Step 6: Final answer
    x = 1,435,649.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.