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Finding the Third Proportional to 366,340 and 581,190

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Solution

The third proportional to 366,340 and 581,190 is: 922,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,340 : 581,190 = 581,190 : x
  2. Step 2: Convert to fraction form
    366,340/581,190 = 581,190/x
  3. Step 3: Cross multiply
    366,340x = 581,190 × 581,190
  4. Step 4: Simplify right side
    366,340x = 337,781,816,100
  5. Step 5: Solve for x
    x = 337,781,816,100/366,340
  6. Step 6: Final answer
    x = 922,044.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.