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Finding the Third Proportional to 273,309.75 and 564,126.75

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Solution

The third proportional to 273,309.75 and 564,126.75 is: 1,164,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,309.75 : 564,126.75 = 564,126.75 : x
  2. Step 2: Convert to fraction form
    273,309.75/564,126.75 = 564,126.75/x
  3. Step 3: Cross multiply
    273,309.75x = 564,126.75 × 564,126.75
  4. Step 4: Simplify right side
    273,309.75x = 318,238,990,065.56
  5. Step 5: Solve for x
    x = 318,238,990,065.56/273,309.75
  6. Step 6: Final answer
    x = 1,164,389.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.