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Finding the Third Proportional to 337,581 and 733,116

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Solution

The third proportional to 337,581 and 733,116 is: 1,592,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,581 : 733,116 = 733,116 : x
  2. Step 2: Convert to fraction form
    337,581/733,116 = 733,116/x
  3. Step 3: Cross multiply
    337,581x = 733,116 × 733,116
  4. Step 4: Simplify right side
    337,581x = 537,459,069,456
  5. Step 5: Solve for x
    x = 537,459,069,456/337,581
  6. Step 6: Final answer
    x = 1,592,089.22

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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.