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Finding the Third Proportional to 272,475 and 593,991

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Solution

The third proportional to 272,475 and 593,991 is: 1,294,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,475 : 593,991 = 593,991 : x
  2. Step 2: Convert to fraction form
    272,475/593,991 = 593,991/x
  3. Step 3: Cross multiply
    272,475x = 593,991 × 593,991
  4. Step 4: Simplify right side
    272,475x = 352,825,308,081
  5. Step 5: Solve for x
    x = 352,825,308,081/272,475
  6. Step 6: Final answer
    x = 1,294,890.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.