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Finding the Third Proportional to 310,648.50 and 748,176.75

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Solution

The third proportional to 310,648.50 and 748,176.75 is: 1,801,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,648.50 : 748,176.75 = 748,176.75 : x
  2. Step 2: Convert to fraction form
    310,648.50/748,176.75 = 748,176.75/x
  3. Step 3: Cross multiply
    310,648.50x = 748,176.75 × 748,176.75
  4. Step 4: Simplify right side
    310,648.50x = 559,768,449,240.56
  5. Step 5: Solve for x
    x = 559,768,449,240.56/310,648.50
  6. Step 6: Final answer
    x = 1,801,935.14

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.