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Finding the Third Proportional to 366,988 and 567,085

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Solution

The third proportional to 366,988 and 567,085 is: 876,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,988 : 567,085 = 567,085 : x
  2. Step 2: Convert to fraction form
    366,988/567,085 = 567,085/x
  3. Step 3: Cross multiply
    366,988x = 567,085 × 567,085
  4. Step 4: Simplify right side
    366,988x = 321,585,397,225
  5. Step 5: Solve for x
    x = 321,585,397,225/366,988
  6. Step 6: Final answer
    x = 876,283.14

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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.