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Finding the Third Proportional to 450,933.75 and 719,043.75

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Solution

The third proportional to 450,933.75 and 719,043.75 is: 1,146,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,933.75 : 719,043.75 = 719,043.75 : x
  2. Step 2: Convert to fraction form
    450,933.75/719,043.75 = 719,043.75/x
  3. Step 3: Cross multiply
    450,933.75x = 719,043.75 × 719,043.75
  4. Step 4: Simplify right side
    450,933.75x = 517,023,914,414.06
  5. Step 5: Solve for x
    x = 517,023,914,414.06/450,933.75
  6. Step 6: Final answer
    x = 1,146,562.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.