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Finding the Third Proportional to 337,574 and 733,104

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Solution

The third proportional to 337,574 and 733,104 is: 1,592,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,574 : 733,104 = 733,104 : x
  2. Step 2: Convert to fraction form
    337,574/733,104 = 733,104/x
  3. Step 3: Cross multiply
    337,574x = 733,104 × 733,104
  4. Step 4: Simplify right side
    337,574x = 537,441,474,816
  5. Step 5: Solve for x
    x = 537,441,474,816/337,574
  6. Step 6: Final answer
    x = 1,592,070.11

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Why These Related Problems?

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