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Finding the Third Proportional to 366,207 and 565,902

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Solution

The third proportional to 366,207 and 565,902 is: 874,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,207 : 565,902 = 565,902 : x
  2. Step 2: Convert to fraction form
    366,207/565,902 = 565,902/x
  3. Step 3: Cross multiply
    366,207x = 565,902 × 565,902
  4. Step 4: Simplify right side
    366,207x = 320,245,073,604
  5. Step 5: Solve for x
    x = 320,245,073,604/366,207
  6. Step 6: Final answer
    x = 874,491.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.