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Finding the Third Proportional to 305,250 and 663,018.75

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Solution

The third proportional to 305,250 and 663,018.75 is: 1,440,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,250 : 663,018.75 = 663,018.75 : x
  2. Step 2: Convert to fraction form
    305,250/663,018.75 = 663,018.75/x
  3. Step 3: Cross multiply
    305,250x = 663,018.75 × 663,018.75
  4. Step 4: Simplify right side
    305,250x = 439,593,862,851.56
  5. Step 5: Solve for x
    x = 439,593,862,851.56/305,250
  6. Step 6: Final answer
    x = 1,440,110.93

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