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Finding the Third Proportional to 337,025 and 733,565

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Solution

The third proportional to 337,025 and 733,565 is: 1,596,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,025 : 733,565 = 733,565 : x
  2. Step 2: Convert to fraction form
    337,025/733,565 = 733,565/x
  3. Step 3: Cross multiply
    337,025x = 733,565 × 733,565
  4. Step 4: Simplify right side
    337,025x = 538,117,609,225
  5. Step 5: Solve for x
    x = 538,117,609,225/337,025
  6. Step 6: Final answer
    x = 1,596,669.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.