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Finding the Third Proportional to 366,348 and 581,204

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Solution

The third proportional to 366,348 and 581,204 is: 922,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,348 : 581,204 = 581,204 : x
  2. Step 2: Convert to fraction form
    366,348/581,204 = 581,204/x
  3. Step 3: Cross multiply
    366,348x = 581,204 × 581,204
  4. Step 4: Simplify right side
    366,348x = 337,798,089,616
  5. Step 5: Solve for x
    x = 337,798,089,616/366,348
  6. Step 6: Final answer
    x = 922,068.88

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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.