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Finding the Third Proportional to 276,366.94 and 585,950.63

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Solution

The third proportional to 276,366.94 and 585,950.63 is: 1,242,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,366.94 : 585,950.63 = 585,950.63 : x
  2. Step 2: Convert to fraction form
    276,366.94/585,950.63 = 585,950.63/x
  3. Step 3: Cross multiply
    276,366.94x = 585,950.63 × 585,950.63
  4. Step 4: Simplify right side
    276,366.94x = 343,338,134,937.89
  5. Step 5: Solve for x
    x = 343,338,134,937.89/276,366.94
  6. Step 6: Final answer
    x = 1,242,327.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.