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Finding the Third Proportional to 274,747.50 and 585,785.63

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Solution

The third proportional to 274,747.50 and 585,785.63 is: 1,248,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,747.50 : 585,785.63 = 585,785.63 : x
  2. Step 2: Convert to fraction form
    274,747.50/585,785.63 = 585,785.63/x
  3. Step 3: Cross multiply
    274,747.50x = 585,785.63 × 585,785.63
  4. Step 4: Simplify right side
    274,747.50x = 343,144,798,456.64
  5. Step 5: Solve for x
    x = 343,144,798,456.64/274,747.50
  6. Step 6: Final answer
    x = 1,248,946.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.