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Finding the Third Proportional to 274,748 and 585,786.75

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Solution

The third proportional to 274,748 and 585,786.75 is: 1,248,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,748 : 585,786.75 = 585,786.75 : x
  2. Step 2: Convert to fraction form
    274,748/585,786.75 = 585,786.75/x
  3. Step 3: Cross multiply
    274,748x = 585,786.75 × 585,786.75
  4. Step 4: Simplify right side
    274,748x = 343,146,116,475.56
  5. Step 5: Solve for x
    x = 343,146,116,475.56/274,748
  6. Step 6: Final answer
    x = 1,248,948.55

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