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Finding the Third Proportional to 350,298.75 and 754,322.63

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Solution

The third proportional to 350,298.75 and 754,322.63 is: 1,624,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,298.75 : 754,322.63 = 754,322.63 : x
  2. Step 2: Convert to fraction form
    350,298.75/754,322.63 = 754,322.63/x
  3. Step 3: Cross multiply
    350,298.75x = 754,322.63 × 754,322.63
  4. Step 4: Simplify right side
    350,298.75x = 569,002,622,586.89
  5. Step 5: Solve for x
    x = 569,002,622,586.89/350,298.75
  6. Step 6: Final answer
    x = 1,624,335.29

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Why These Related Problems?

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