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Finding the Third Proportional to 357,591 and 744,576

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Solution

The third proportional to 357,591 and 744,576 is: 1,550,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,591 : 744,576 = 744,576 : x
  2. Step 2: Convert to fraction form
    357,591/744,576 = 744,576/x
  3. Step 3: Cross multiply
    357,591x = 744,576 × 744,576
  4. Step 4: Simplify right side
    357,591x = 554,393,419,776
  5. Step 5: Solve for x
    x = 554,393,419,776/357,591
  6. Step 6: Final answer
    x = 1,550,356.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.