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Finding the Third Proportional to 337,575 and 733,105

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Solution

The third proportional to 337,575 and 733,105 is: 1,592,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,575 : 733,105 = 733,105 : x
  2. Step 2: Convert to fraction form
    337,575/733,105 = 733,105/x
  3. Step 3: Cross multiply
    337,575x = 733,105 × 733,105
  4. Step 4: Simplify right side
    337,575x = 537,442,941,025
  5. Step 5: Solve for x
    x = 537,442,941,025/337,575
  6. Step 6: Final answer
    x = 1,592,069.74

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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.