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Finding the Third Proportional to 274,560 and 593,534

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Solution

The third proportional to 274,560 and 593,534 is: 1,283,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,560 : 593,534 = 593,534 : x
  2. Step 2: Convert to fraction form
    274,560/593,534 = 593,534/x
  3. Step 3: Cross multiply
    274,560x = 593,534 × 593,534
  4. Step 4: Simplify right side
    274,560x = 352,282,609,156
  5. Step 5: Solve for x
    x = 352,282,609,156/274,560
  6. Step 6: Final answer
    x = 1,283,080.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.